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Simplifying -3(x + 9) + 2x = 5(x + 10) + -5 Reorder the terms: -3(9 + x) + 2x = 5(x + 10) + -5 (9 * -3 + x * -3) + 2x = 5(x + 10) + -5 (-27 + -3x) + 2x = 5(x + 10) + -5 Combine like terms: -3x + 2x = -1x -27 + -1x = 5(x + 10) + -5 Reorder the terms: -27 + -1x = 5(10 + x) + -5 -27 + -1x = (10 * 5 + x * 5) + -5 -27 + -1x = (50 + 5x) + -5 Reorder the terms: -27 + -1x = 50 + -5 + 5x Combine like terms: 50 + -5 = 45 -27 + -1x = 45 + 5x Solving -27 + -1x = 45 + 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. -27 + -1x + -5x = 45 + 5x + -5x Combine like terms: -1x + -5x = -6x -27 + -6x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 -27 + -6x = 45 + 0 -27 + -6x = 45 Add '27' to each side of the equation. -27 + 27 + -6x = 45 + 27 Combine like terms: -27 + 27 = 0 0 + -6x = 45 + 27 -6x = 45 + 27 Combine like terms: 45 + 27 = 72 -6x = 72 Divide each side by '-6'. x = -12 Simplifying x = -12
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