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Simplifying -6(x + -2) = 3(x + -14) Reorder the terms: -6(-2 + x) = 3(x + -14) (-2 * -6 + x * -6) = 3(x + -14) (12 + -6x) = 3(x + -14) Reorder the terms: 12 + -6x = 3(-14 + x) 12 + -6x = (-14 * 3 + x * 3) 12 + -6x = (-42 + 3x) Solving 12 + -6x = -42 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + -6x + -3x = -42 + 3x + -3x Combine like terms: -6x + -3x = -9x 12 + -9x = -42 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -9x = -42 + 0 12 + -9x = -42 Add '-12' to each side of the equation. 12 + -12 + -9x = -42 + -12 Combine like terms: 12 + -12 = 0 0 + -9x = -42 + -12 -9x = -42 + -12 Combine like terms: -42 + -12 = -54 -9x = -54 Divide each side by '-9'. x = 6 Simplifying x = 6
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