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Simplifying 4(-1x + 7) + -1x = -1(x + -12) Reorder the terms: 4(7 + -1x) + -1x = -1(x + -12) (7 * 4 + -1x * 4) + -1x = -1(x + -12) (28 + -4x) + -1x = -1(x + -12) Combine like terms: -4x + -1x = -5x 28 + -5x = -1(x + -12) Reorder the terms: 28 + -5x = -1(-12 + x) 28 + -5x = (-12 * -1 + x * -1) 28 + -5x = (12 + -1x) Solving 28 + -5x = 12 + -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. 28 + -5x + x = 12 + -1x + x Combine like terms: -5x + x = -4x 28 + -4x = 12 + -1x + x Combine like terms: -1x + x = 0 28 + -4x = 12 + 0 28 + -4x = 12 Add '-28' to each side of the equation. 28 + -28 + -4x = 12 + -28 Combine like terms: 28 + -28 = 0 0 + -4x = 12 + -28 -4x = 12 + -28 Combine like terms: 12 + -28 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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