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Simplifying -3(x + -5) + 9 = 6(x + -2) + -9 Reorder the terms: -3(-5 + x) + 9 = 6(x + -2) + -9 (-5 * -3 + x * -3) + 9 = 6(x + -2) + -9 (15 + -3x) + 9 = 6(x + -2) + -9 Reorder the terms: 15 + 9 + -3x = 6(x + -2) + -9 Combine like terms: 15 + 9 = 24 24 + -3x = 6(x + -2) + -9 Reorder the terms: 24 + -3x = 6(-2 + x) + -9 24 + -3x = (-2 * 6 + x * 6) + -9 24 + -3x = (-12 + 6x) + -9 Reorder the terms: 24 + -3x = -12 + -9 + 6x Combine like terms: -12 + -9 = -21 24 + -3x = -21 + 6x Solving 24 + -3x = -21 + 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. 24 + -3x + -6x = -21 + 6x + -6x Combine like terms: -3x + -6x = -9x 24 + -9x = -21 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + -9x = -21 + 0 24 + -9x = -21 Add '-24' to each side of the equation. 24 + -24 + -9x = -21 + -24 Combine like terms: 24 + -24 = 0 0 + -9x = -21 + -24 -9x = -21 + -24 Combine like terms: -21 + -24 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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