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Simplifying -18(x + 1) + 6(4x + -5) = 5(x + -4) + 8 Reorder the terms: -18(1 + x) + 6(4x + -5) = 5(x + -4) + 8 (1 * -18 + x * -18) + 6(4x + -5) = 5(x + -4) + 8 (-18 + -18x) + 6(4x + -5) = 5(x + -4) + 8 Reorder the terms: -18 + -18x + 6(-5 + 4x) = 5(x + -4) + 8 -18 + -18x + (-5 * 6 + 4x * 6) = 5(x + -4) + 8 -18 + -18x + (-30 + 24x) = 5(x + -4) + 8 Reorder the terms: -18 + -30 + -18x + 24x = 5(x + -4) + 8 Combine like terms: -18 + -30 = -48 -48 + -18x + 24x = 5(x + -4) + 8 Combine like terms: -18x + 24x = 6x -48 + 6x = 5(x + -4) + 8 Reorder the terms: -48 + 6x = 5(-4 + x) + 8 -48 + 6x = (-4 * 5 + x * 5) + 8 -48 + 6x = (-20 + 5x) + 8 Reorder the terms: -48 + 6x = -20 + 8 + 5x Combine like terms: -20 + 8 = -12 -48 + 6x = -12 + 5x Solving -48 + 6x = -12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -48 + 6x + -5x = -12 + 5x + -5x Combine like terms: 6x + -5x = 1x -48 + 1x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 -48 + 1x = -12 + 0 -48 + 1x = -12 Add '48' to each side of the equation. -48 + 48 + 1x = -12 + 48 Combine like terms: -48 + 48 = 0 0 + 1x = -12 + 48 1x = -12 + 48 Combine like terms: -12 + 48 = 36 1x = 36 Divide each side by '1'. x = 36 Simplifying x = 36
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