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Simplifying 5(2x + -4) = 3(x + -6) + x + -2 Reorder the terms: 5(-4 + 2x) = 3(x + -6) + x + -2 (-4 * 5 + 2x * 5) = 3(x + -6) + x + -2 (-20 + 10x) = 3(x + -6) + x + -2 Reorder the terms: -20 + 10x = 3(-6 + x) + x + -2 -20 + 10x = (-6 * 3 + x * 3) + x + -2 -20 + 10x = (-18 + 3x) + x + -2 Reorder the terms: -20 + 10x = -18 + -2 + 3x + x Combine like terms: -18 + -2 = -20 -20 + 10x = -20 + 3x + x Combine like terms: 3x + x = 4x -20 + 10x = -20 + 4x Add '20' to each side of the equation. -20 + 20 + 10x = -20 + 20 + 4x Combine like terms: -20 + 20 = 0 0 + 10x = -20 + 20 + 4x 10x = -20 + 20 + 4x Combine like terms: -20 + 20 = 0 10x = 0 + 4x 10x = 4x Solving 10x = 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. 10x + -4x = 4x + -4x Combine like terms: 10x + -4x = 6x 6x = 4x + -4x Combine like terms: 4x + -4x = 0 6x = 0 Divide each side by '6'. x = 0 Simplifying x = 0
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