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Simplifying 18 + -1(4x + 5) = -1(2x + -4) + 3(2x + -5) Reorder the terms: 18 + -1(5 + 4x) = -1(2x + -4) + 3(2x + -5) 18 + (5 * -1 + 4x * -1) = -1(2x + -4) + 3(2x + -5) 18 + (-5 + -4x) = -1(2x + -4) + 3(2x + -5) Combine like terms: 18 + -5 = 13 13 + -4x = -1(2x + -4) + 3(2x + -5) Reorder the terms: 13 + -4x = -1(-4 + 2x) + 3(2x + -5) 13 + -4x = (-4 * -1 + 2x * -1) + 3(2x + -5) 13 + -4x = (4 + -2x) + 3(2x + -5) Reorder the terms: 13 + -4x = 4 + -2x + 3(-5 + 2x) 13 + -4x = 4 + -2x + (-5 * 3 + 2x * 3) 13 + -4x = 4 + -2x + (-15 + 6x) Reorder the terms: 13 + -4x = 4 + -15 + -2x + 6x Combine like terms: 4 + -15 = -11 13 + -4x = -11 + -2x + 6x Combine like terms: -2x + 6x = 4x 13 + -4x = -11 + 4x Solving 13 + -4x = -11 + 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. 13 + -4x + -4x = -11 + 4x + -4x Combine like terms: -4x + -4x = -8x 13 + -8x = -11 + 4x + -4x Combine like terms: 4x + -4x = 0 13 + -8x = -11 + 0 13 + -8x = -11 Add '-13' to each side of the equation. 13 + -13 + -8x = -11 + -13 Combine like terms: 13 + -13 = 0 0 + -8x = -11 + -13 -8x = -11 + -13 Combine like terms: -11 + -13 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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