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Simplifying 5(2x + -4) = 3(2x + -1) + -1 Reorder the terms: 5(-4 + 2x) = 3(2x + -1) + -1 (-4 * 5 + 2x * 5) = 3(2x + -1) + -1 (-20 + 10x) = 3(2x + -1) + -1 Reorder the terms: -20 + 10x = 3(-1 + 2x) + -1 -20 + 10x = (-1 * 3 + 2x * 3) + -1 -20 + 10x = (-3 + 6x) + -1 Reorder the terms: -20 + 10x = -3 + -1 + 6x Combine like terms: -3 + -1 = -4 -20 + 10x = -4 + 6x Solving -20 + 10x = -4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -20 + 10x + -6x = -4 + 6x + -6x Combine like terms: 10x + -6x = 4x -20 + 4x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 -20 + 4x = -4 + 0 -20 + 4x = -4 Add '20' to each side of the equation. -20 + 20 + 4x = -4 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = -4 + 20 4x = -4 + 20 Combine like terms: -4 + 20 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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