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Simplifying -1(3x + -3) = 6(2x + -7) Reorder the terms: -1(-3 + 3x) = 6(2x + -7) (-3 * -1 + 3x * -1) = 6(2x + -7) (3 + -3x) = 6(2x + -7) Reorder the terms: 3 + -3x = 6(-7 + 2x) 3 + -3x = (-7 * 6 + 2x * 6) 3 + -3x = (-42 + 12x) Solving 3 + -3x = -42 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 3 + -3x + -12x = -42 + 12x + -12x Combine like terms: -3x + -12x = -15x 3 + -15x = -42 + 12x + -12x Combine like terms: 12x + -12x = 0 3 + -15x = -42 + 0 3 + -15x = -42 Add '-3' to each side of the equation. 3 + -3 + -15x = -42 + -3 Combine like terms: 3 + -3 = 0 0 + -15x = -42 + -3 -15x = -42 + -3 Combine like terms: -42 + -3 = -45 -15x = -45 Divide each side by '-15'. x = 3 Simplifying x = 3
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