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Simplifying -2x + 3x + -8 = -3(-2x + -1) + 9 Reorder the terms: -8 + -2x + 3x = -3(-2x + -1) + 9 Combine like terms: -2x + 3x = 1x -8 + 1x = -3(-2x + -1) + 9 Reorder the terms: -8 + 1x = -3(-1 + -2x) + 9 -8 + 1x = (-1 * -3 + -2x * -3) + 9 -8 + 1x = (3 + 6x) + 9 Reorder the terms: -8 + 1x = 3 + 9 + 6x Combine like terms: 3 + 9 = 12 -8 + 1x = 12 + 6x Solving -8 + 1x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + 1x + -6x = 12 + 6x + -6x Combine like terms: 1x + -6x = -5x -8 + -5x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -5x = 12 + 0 -8 + -5x = 12 Add '8' to each side of the equation. -8 + 8 + -5x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = 12 + 8 -5x = 12 + 8 Combine like terms: 12 + 8 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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