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Simplifying 12x + 7 = -1(2x + -3) Reorder the terms: 7 + 12x = -1(2x + -3) Reorder the terms: 7 + 12x = -1(-3 + 2x) 7 + 12x = (-3 * -1 + 2x * -1) 7 + 12x = (3 + -2x) Solving 7 + 12x = 3 + -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. 7 + 12x + 2x = 3 + -2x + 2x Combine like terms: 12x + 2x = 14x 7 + 14x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 7 + 14x = 3 + 0 7 + 14x = 3 Add '-7' to each side of the equation. 7 + -7 + 14x = 3 + -7 Combine like terms: 7 + -7 = 0 0 + 14x = 3 + -7 14x = 3 + -7 Combine like terms: 3 + -7 = -4 14x = -4 Divide each side by '14'. x = -0.2857142857 Simplifying x = -0.2857142857
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