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Simplifying 4 + 12x + -12 * 3 + -5x * 3 + -2(2 + -1x) + 5(2 + -1x) + 8 + 2 + -5x = 30 + 5x Multiply -12 * 3 4 + 12x + -36 + -5x * 3 + -2(2 + -1x) + 5(2 + -1x) + 8 + 2 + -5x = 30 + 5x Reorder the terms for easier multiplication: 4 + 12x + -36 + -5 * 3x + -2(2 + -1x) + 5(2 + -1x) + 8 + 2 + -5x = 30 + 5x Multiply -5 * 3 4 + 12x + -36 + -15x + -2(2 + -1x) + 5(2 + -1x) + 8 + 2 + -5x = 30 + 5x 4 + 12x + -36 + -15x + (2 * -2 + -1x * -2) + 5(2 + -1x) + 8 + 2 + -5x = 30 + 5x 4 + 12x + -36 + -15x + (-4 + 2x) + 5(2 + -1x) + 8 + 2 + -5x = 30 + 5x 4 + 12x + -36 + -15x + -4 + 2x + (2 * 5 + -1x * 5) + 8 + 2 + -5x = 30 + 5x 4 + 12x + -36 + -15x + -4 + 2x + (10 + -5x) + 8 + 2 + -5x = 30 + 5x Reorder the terms: 4 + -36 + -4 + 10 + 8 + 2 + 12x + -15x + 2x + -5x + -5x = 30 + 5x Combine like terms: 4 + -36 = -32 -32 + -4 + 10 + 8 + 2 + 12x + -15x + 2x + -5x + -5x = 30 + 5x Combine like terms: -32 + -4 = -36 -36 + 10 + 8 + 2 + 12x + -15x + 2x + -5x + -5x = 30 + 5x Combine like terms: -36 + 10 = -26 -26 + 8 + 2 + 12x + -15x + 2x + -5x + -5x = 30 + 5x Combine like terms: -26 + 8 = -18 -18 + 2 + 12x + -15x + 2x + -5x + -5x = 30 + 5x Combine like terms: -18 + 2 = -16 -16 + 12x + -15x + 2x + -5x + -5x = 30 + 5x Combine like terms: 12x + -15x = -3x -16 + -3x + 2x + -5x + -5x = 30 + 5x Combine like terms: -3x + 2x = -1x -16 + -1x + -5x + -5x = 30 + 5x Combine like terms: -1x + -5x = -6x -16 + -6x + -5x = 30 + 5x Combine like terms: -6x + -5x = -11x -16 + -11x = 30 + 5x Solving -16 + -11x = 30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -16 + -11x + -5x = 30 + 5x + -5x Combine like terms: -11x + -5x = -16x -16 + -16x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 -16 + -16x = 30 + 0 -16 + -16x = 30 Add '16' to each side of the equation. -16 + 16 + -16x = 30 + 16 Combine like terms: -16 + 16 = 0 0 + -16x = 30 + 16 -16x = 30 + 16 Combine like terms: 30 + 16 = 46 -16x = 46 Divide each side by '-16'. x = -2.875 Simplifying x = -2.875
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