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Simplifying 5(3 + -1x) + -14 = 3x + 2 (3 * 5 + -1x * 5) + -14 = 3x + 2 (15 + -5x) + -14 = 3x + 2 Reorder the terms: 15 + -14 + -5x = 3x + 2 Combine like terms: 15 + -14 = 1 1 + -5x = 3x + 2 Reorder the terms: 1 + -5x = 2 + 3x Solving 1 + -5x = 2 + 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. 1 + -5x + -3x = 2 + 3x + -3x Combine like terms: -5x + -3x = -8x 1 + -8x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + -8x = 2 + 0 1 + -8x = 2 Add '-1' to each side of the equation. 1 + -1 + -8x = 2 + -1 Combine like terms: 1 + -1 = 0 0 + -8x = 2 + -1 -8x = 2 + -1 Combine like terms: 2 + -1 = 1 -8x = 1 Divide each side by '-8'. x = -0.125 Simplifying x = -0.125
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