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Simplifying 4(x + 7) = -1(8 + -1x) Reorder the terms: 4(7 + x) = -1(8 + -1x) (7 * 4 + x * 4) = -1(8 + -1x) (28 + 4x) = -1(8 + -1x) 28 + 4x = (8 * -1 + -1x * -1) 28 + 4x = (-8 + 1x) Solving 28 + 4x = -8 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 28 + 4x + -1x = -8 + 1x + -1x Combine like terms: 4x + -1x = 3x 28 + 3x = -8 + 1x + -1x Combine like terms: 1x + -1x = 0 28 + 3x = -8 + 0 28 + 3x = -8 Add '-28' to each side of the equation. 28 + -28 + 3x = -8 + -28 Combine like terms: 28 + -28 = 0 0 + 3x = -8 + -28 3x = -8 + -28 Combine like terms: -8 + -28 = -36 3x = -36 Divide each side by '3'. x = -12 Simplifying x = -12
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