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Simplifying 12x + -3(1 + 4x) + 5x + 2 = 4(x + 1) + -2(3x + 1) + 2x 12x + (1 * -3 + 4x * -3) + 5x + 2 = 4(x + 1) + -2(3x + 1) + 2x 12x + (-3 + -12x) + 5x + 2 = 4(x + 1) + -2(3x + 1) + 2x Reorder the terms: -3 + 2 + 12x + -12x + 5x = 4(x + 1) + -2(3x + 1) + 2x Combine like terms: -3 + 2 = -1 -1 + 12x + -12x + 5x = 4(x + 1) + -2(3x + 1) + 2x Combine like terms: 12x + -12x = 0 -1 + 0 + 5x = 4(x + 1) + -2(3x + 1) + 2x -1 + 5x = 4(x + 1) + -2(3x + 1) + 2x Reorder the terms: -1 + 5x = 4(1 + x) + -2(3x + 1) + 2x -1 + 5x = (1 * 4 + x * 4) + -2(3x + 1) + 2x -1 + 5x = (4 + 4x) + -2(3x + 1) + 2x Reorder the terms: -1 + 5x = 4 + 4x + -2(1 + 3x) + 2x -1 + 5x = 4 + 4x + (1 * -2 + 3x * -2) + 2x -1 + 5x = 4 + 4x + (-2 + -6x) + 2x Reorder the terms: -1 + 5x = 4 + -2 + 4x + -6x + 2x Combine like terms: 4 + -2 = 2 -1 + 5x = 2 + 4x + -6x + 2x Combine like terms: 4x + -6x = -2x -1 + 5x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 -1 + 5x = 2 + 0 -1 + 5x = 2 Solving -1 + 5x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 5x = 2 + 1 Combine like terms: -1 + 1 = 0 0 + 5x = 2 + 1 5x = 2 + 1 Combine like terms: 2 + 1 = 3 5x = 3 Divide each side by '5'. x = 0.6 Simplifying x = 0.6
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