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Simplifying 18 + -1(x + 3) + -2x = 4(x + -5) Reorder the terms: 18 + -1(3 + x) + -2x = 4(x + -5) 18 + (3 * -1 + x * -1) + -2x = 4(x + -5) 18 + (-3 + -1x) + -2x = 4(x + -5) Combine like terms: 18 + -3 = 15 15 + -1x + -2x = 4(x + -5) Combine like terms: -1x + -2x = -3x 15 + -3x = 4(x + -5) Reorder the terms: 15 + -3x = 4(-5 + x) 15 + -3x = (-5 * 4 + x * 4) 15 + -3x = (-20 + 4x) Solving 15 + -3x = -20 + 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. 15 + -3x + -4x = -20 + 4x + -4x Combine like terms: -3x + -4x = -7x 15 + -7x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + -7x = -20 + 0 15 + -7x = -20 Add '-15' to each side of the equation. 15 + -15 + -7x = -20 + -15 Combine like terms: 15 + -15 = 0 0 + -7x = -20 + -15 -7x = -20 + -15 Combine like terms: -20 + -15 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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