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Simplifying 3(x + -1) + -2(3x + 2) = 2x + 8 Reorder the terms: 3(-1 + x) + -2(3x + 2) = 2x + 8 (-1 * 3 + x * 3) + -2(3x + 2) = 2x + 8 (-3 + 3x) + -2(3x + 2) = 2x + 8 Reorder the terms: -3 + 3x + -2(2 + 3x) = 2x + 8 -3 + 3x + (2 * -2 + 3x * -2) = 2x + 8 -3 + 3x + (-4 + -6x) = 2x + 8 Reorder the terms: -3 + -4 + 3x + -6x = 2x + 8 Combine like terms: -3 + -4 = -7 -7 + 3x + -6x = 2x + 8 Combine like terms: 3x + -6x = -3x -7 + -3x = 2x + 8 Reorder the terms: -7 + -3x = 8 + 2x Solving -7 + -3x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + -3x + -2x = 8 + 2x + -2x Combine like terms: -3x + -2x = -5x -7 + -5x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + -5x = 8 + 0 -7 + -5x = 8 Add '7' to each side of the equation. -7 + 7 + -5x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = 8 + 7 -5x = 8 + 7 Combine like terms: 8 + 7 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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