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Simplifying 5(2x + -4) = 2(6x + 3) Reorder the terms: 5(-4 + 2x) = 2(6x + 3) (-4 * 5 + 2x * 5) = 2(6x + 3) (-20 + 10x) = 2(6x + 3) Reorder the terms: -20 + 10x = 2(3 + 6x) -20 + 10x = (3 * 2 + 6x * 2) -20 + 10x = (6 + 12x) Solving -20 + 10x = 6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -20 + 10x + -12x = 6 + 12x + -12x Combine like terms: 10x + -12x = -2x -20 + -2x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 -20 + -2x = 6 + 0 -20 + -2x = 6 Add '20' to each side of the equation. -20 + 20 + -2x = 6 + 20 Combine like terms: -20 + 20 = 0 0 + -2x = 6 + 20 -2x = 6 + 20 Combine like terms: 6 + 20 = 26 -2x = 26 Divide each side by '-2'. x = -13 Simplifying x = -13
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