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Simplifying 18 + -4(x + 4) = 20(x + 2) + -11 Reorder the terms: 18 + -4(4 + x) = 20(x + 2) + -11 18 + (4 * -4 + x * -4) = 20(x + 2) + -11 18 + (-16 + -4x) = 20(x + 2) + -11 Combine like terms: 18 + -16 = 2 2 + -4x = 20(x + 2) + -11 Reorder the terms: 2 + -4x = 20(2 + x) + -11 2 + -4x = (2 * 20 + x * 20) + -11 2 + -4x = (40 + 20x) + -11 Reorder the terms: 2 + -4x = 40 + -11 + 20x Combine like terms: 40 + -11 = 29 2 + -4x = 29 + 20x Solving 2 + -4x = 29 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 2 + -4x + -20x = 29 + 20x + -20x Combine like terms: -4x + -20x = -24x 2 + -24x = 29 + 20x + -20x Combine like terms: 20x + -20x = 0 2 + -24x = 29 + 0 2 + -24x = 29 Add '-2' to each side of the equation. 2 + -2 + -24x = 29 + -2 Combine like terms: 2 + -2 = 0 0 + -24x = 29 + -2 -24x = 29 + -2 Combine like terms: 29 + -2 = 27 -24x = 27 Divide each side by '-24'. x = -1.125 Simplifying x = -1.125
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