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Simplifying -3(x + 6) + 3 = -7 + 2(x + -14) Reorder the terms: -3(6 + x) + 3 = -7 + 2(x + -14) (6 * -3 + x * -3) + 3 = -7 + 2(x + -14) (-18 + -3x) + 3 = -7 + 2(x + -14) Reorder the terms: -18 + 3 + -3x = -7 + 2(x + -14) Combine like terms: -18 + 3 = -15 -15 + -3x = -7 + 2(x + -14) Reorder the terms: -15 + -3x = -7 + 2(-14 + x) -15 + -3x = -7 + (-14 * 2 + x * 2) -15 + -3x = -7 + (-28 + 2x) Combine like terms: -7 + -28 = -35 -15 + -3x = -35 + 2x Solving -15 + -3x = -35 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -15 + -3x + -2x = -35 + 2x + -2x Combine like terms: -3x + -2x = -5x -15 + -5x = -35 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + -5x = -35 + 0 -15 + -5x = -35 Add '15' to each side of the equation. -15 + 15 + -5x = -35 + 15 Combine like terms: -15 + 15 = 0 0 + -5x = -35 + 15 -5x = -35 + 15 Combine like terms: -35 + 15 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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