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Simplifying 18 = 5(x + -1) + -1(x + -7) Reorder the terms: 18 = 5(-1 + x) + -1(x + -7) 18 = (-1 * 5 + x * 5) + -1(x + -7) 18 = (-5 + 5x) + -1(x + -7) Reorder the terms: 18 = -5 + 5x + -1(-7 + x) 18 = -5 + 5x + (-7 * -1 + x * -1) 18 = -5 + 5x + (7 + -1x) Reorder the terms: 18 = -5 + 7 + 5x + -1x Combine like terms: -5 + 7 = 2 18 = 2 + 5x + -1x Combine like terms: 5x + -1x = 4x 18 = 2 + 4x Solving 18 = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 18 + -4x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + -4x = 2 + 0 18 + -4x = 2 Add '-18' to each side of the equation. 18 + -18 + -4x = 2 + -18 Combine like terms: 18 + -18 = 0 0 + -4x = 2 + -18 -4x = 2 + -18 Combine like terms: 2 + -18 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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