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Simplifying 5(4x + -4) = 2(18x + 6) Reorder the terms: 5(-4 + 4x) = 2(18x + 6) (-4 * 5 + 4x * 5) = 2(18x + 6) (-20 + 20x) = 2(18x + 6) Reorder the terms: -20 + 20x = 2(6 + 18x) -20 + 20x = (6 * 2 + 18x * 2) -20 + 20x = (12 + 36x) Solving -20 + 20x = 12 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -20 + 20x + -36x = 12 + 36x + -36x Combine like terms: 20x + -36x = -16x -20 + -16x = 12 + 36x + -36x Combine like terms: 36x + -36x = 0 -20 + -16x = 12 + 0 -20 + -16x = 12 Add '20' to each side of the equation. -20 + 20 + -16x = 12 + 20 Combine like terms: -20 + 20 = 0 0 + -16x = 12 + 20 -16x = 12 + 20 Combine like terms: 12 + 20 = 32 -16x = 32 Divide each side by '-16'. x = -2 Simplifying x = -2
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