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Simplifying 3(x + 14) = 5x + -12 Reorder the terms: 3(14 + x) = 5x + -12 (14 * 3 + x * 3) = 5x + -12 (42 + 3x) = 5x + -12 Reorder the terms: 42 + 3x = -12 + 5x Solving 42 + 3x = -12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 42 + 3x + -5x = -12 + 5x + -5x Combine like terms: 3x + -5x = -2x 42 + -2x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 42 + -2x = -12 + 0 42 + -2x = -12 Add '-42' to each side of the equation. 42 + -42 + -2x = -12 + -42 Combine like terms: 42 + -42 = 0 0 + -2x = -12 + -42 -2x = -12 + -42 Combine like terms: -12 + -42 = -54 -2x = -54 Divide each side by '-2'. x = 27 Simplifying x = 27
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