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Simplifying -3(x + -5) = 6 + -3(2x + 4) Reorder the terms: -3(-5 + x) = 6 + -3(2x + 4) (-5 * -3 + x * -3) = 6 + -3(2x + 4) (15 + -3x) = 6 + -3(2x + 4) Reorder the terms: 15 + -3x = 6 + -3(4 + 2x) 15 + -3x = 6 + (4 * -3 + 2x * -3) 15 + -3x = 6 + (-12 + -6x) Combine like terms: 6 + -12 = -6 15 + -3x = -6 + -6x Solving 15 + -3x = -6 + -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. 15 + -3x + 6x = -6 + -6x + 6x Combine like terms: -3x + 6x = 3x 15 + 3x = -6 + -6x + 6x Combine like terms: -6x + 6x = 0 15 + 3x = -6 + 0 15 + 3x = -6 Add '-15' to each side of the equation. 15 + -15 + 3x = -6 + -15 Combine like terms: 15 + -15 = 0 0 + 3x = -6 + -15 3x = -6 + -15 Combine like terms: -6 + -15 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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