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Simplifying 5x + 2 = -1(x + -14) Reorder the terms: 2 + 5x = -1(x + -14) Reorder the terms: 2 + 5x = -1(-14 + x) 2 + 5x = (-14 * -1 + x * -1) 2 + 5x = (14 + -1x) Solving 2 + 5x = 14 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 2 + 5x + x = 14 + -1x + x Combine like terms: 5x + x = 6x 2 + 6x = 14 + -1x + x Combine like terms: -1x + x = 0 2 + 6x = 14 + 0 2 + 6x = 14 Add '-2' to each side of the equation. 2 + -2 + 6x = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 14 + -2 6x = 14 + -2 Combine like terms: 14 + -2 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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