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