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Simplifying 7 + 2x = -1(-3x + 1) Reorder the terms: 7 + 2x = -1(1 + -3x) 7 + 2x = (1 * -1 + -3x * -1) 7 + 2x = (-1 + 3x) Solving 7 + 2x = -1 + 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. 7 + 2x + -3x = -1 + 3x + -3x Combine like terms: 2x + -3x = -1x 7 + -1x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + -1x = -1 + 0 7 + -1x = -1 Add '-7' to each side of the equation. 7 + -7 + -1x = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = -1 + -7 -1x = -1 + -7 Combine like terms: -1 + -7 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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