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Simplifying 18 = 5(x + -30) + -1(x + -9) Reorder the terms: 18 = 5(-30 + x) + -1(x + -9) 18 = (-30 * 5 + x * 5) + -1(x + -9) 18 = (-150 + 5x) + -1(x + -9) Reorder the terms: 18 = -150 + 5x + -1(-9 + x) 18 = -150 + 5x + (-9 * -1 + x * -1) 18 = -150 + 5x + (9 + -1x) Reorder the terms: 18 = -150 + 9 + 5x + -1x Combine like terms: -150 + 9 = -141 18 = -141 + 5x + -1x Combine like terms: 5x + -1x = 4x 18 = -141 + 4x Solving 18 = -141 + 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 = -141 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + -4x = -141 + 0 18 + -4x = -141 Add '-18' to each side of the equation. 18 + -18 + -4x = -141 + -18 Combine like terms: 18 + -18 = 0 0 + -4x = -141 + -18 -4x = -141 + -18 Combine like terms: -141 + -18 = -159 -4x = -159 Divide each side by '-4'. x = 39.75 Simplifying x = 39.75
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