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Simplifying 3(x + 5) + -14 = -2(x + 3) + 12 Reorder the terms: 3(5 + x) + -14 = -2(x + 3) + 12 (5 * 3 + x * 3) + -14 = -2(x + 3) + 12 (15 + 3x) + -14 = -2(x + 3) + 12 Reorder the terms: 15 + -14 + 3x = -2(x + 3) + 12 Combine like terms: 15 + -14 = 1 1 + 3x = -2(x + 3) + 12 Reorder the terms: 1 + 3x = -2(3 + x) + 12 1 + 3x = (3 * -2 + x * -2) + 12 1 + 3x = (-6 + -2x) + 12 Reorder the terms: 1 + 3x = -6 + 12 + -2x Combine like terms: -6 + 12 = 6 1 + 3x = 6 + -2x Solving 1 + 3x = 6 + -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. 1 + 3x + 2x = 6 + -2x + 2x Combine like terms: 3x + 2x = 5x 1 + 5x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + 5x = 6 + 0 1 + 5x = 6 Add '-1' to each side of the equation. 1 + -1 + 5x = 6 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 6 + -1 5x = 6 + -1 Combine like terms: 6 + -1 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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