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Simplifying 4x + -5(3x + 6) = 8 + 3x + -2 + 6x Reorder the terms: 4x + -5(6 + 3x) = 8 + 3x + -2 + 6x 4x + (6 * -5 + 3x * -5) = 8 + 3x + -2 + 6x 4x + (-30 + -15x) = 8 + 3x + -2 + 6x Reorder the terms: -30 + 4x + -15x = 8 + 3x + -2 + 6x Combine like terms: 4x + -15x = -11x -30 + -11x = 8 + 3x + -2 + 6x Reorder the terms: -30 + -11x = 8 + -2 + 3x + 6x Combine like terms: 8 + -2 = 6 -30 + -11x = 6 + 3x + 6x Combine like terms: 3x + 6x = 9x -30 + -11x = 6 + 9x Solving -30 + -11x = 6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -30 + -11x + -9x = 6 + 9x + -9x Combine like terms: -11x + -9x = -20x -30 + -20x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 -30 + -20x = 6 + 0 -30 + -20x = 6 Add '30' to each side of the equation. -30 + 30 + -20x = 6 + 30 Combine like terms: -30 + 30 = 0 0 + -20x = 6 + 30 -20x = 6 + 30 Combine like terms: 6 + 30 = 36 -20x = 36 Divide each side by '-20'. x = -1.8 Simplifying x = -1.8
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