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Simplifying -2(x + 5) + 14 = 12 + -3x Reorder the terms: -2(5 + x) + 14 = 12 + -3x (5 * -2 + x * -2) + 14 = 12 + -3x (-10 + -2x) + 14 = 12 + -3x Reorder the terms: -10 + 14 + -2x = 12 + -3x Combine like terms: -10 + 14 = 4 4 + -2x = 12 + -3x Solving 4 + -2x = 12 + -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. 4 + -2x + 3x = 12 + -3x + 3x Combine like terms: -2x + 3x = 1x 4 + 1x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 1x = 12 + 0 4 + 1x = 12 Add '-4' to each side of the equation. 4 + -4 + 1x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 12 + -4 1x = 12 + -4 Combine like terms: 12 + -4 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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