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Simplifying -3(x + -5) = 2(-2x + -6) + 6 Reorder the terms: -3(-5 + x) = 2(-2x + -6) + 6 (-5 * -3 + x * -3) = 2(-2x + -6) + 6 (15 + -3x) = 2(-2x + -6) + 6 Reorder the terms: 15 + -3x = 2(-6 + -2x) + 6 15 + -3x = (-6 * 2 + -2x * 2) + 6 15 + -3x = (-12 + -4x) + 6 Reorder the terms: 15 + -3x = -12 + 6 + -4x Combine like terms: -12 + 6 = -6 15 + -3x = -6 + -4x Solving 15 + -3x = -6 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 15 + -3x + 4x = -6 + -4x + 4x Combine like terms: -3x + 4x = 1x 15 + 1x = -6 + -4x + 4x Combine like terms: -4x + 4x = 0 15 + 1x = -6 + 0 15 + 1x = -6 Add '-15' to each side of the equation. 15 + -15 + 1x = -6 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = -6 + -15 1x = -6 + -15 Combine like terms: -6 + -15 = -21 1x = -21 Divide each side by '1'. x = -21 Simplifying x = -21
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