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Simplifying 5(2x + -4) = 3(4x + 6) Reorder the terms: 5(-4 + 2x) = 3(4x + 6) (-4 * 5 + 2x * 5) = 3(4x + 6) (-20 + 10x) = 3(4x + 6) Reorder the terms: -20 + 10x = 3(6 + 4x) -20 + 10x = (6 * 3 + 4x * 3) -20 + 10x = (18 + 12x) Solving -20 + 10x = 18 + 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 = 18 + 12x + -12x Combine like terms: 10x + -12x = -2x -20 + -2x = 18 + 12x + -12x Combine like terms: 12x + -12x = 0 -20 + -2x = 18 + 0 -20 + -2x = 18 Add '20' to each side of the equation. -20 + 20 + -2x = 18 + 20 Combine like terms: -20 + 20 = 0 0 + -2x = 18 + 20 -2x = 18 + 20 Combine like terms: 18 + 20 = 38 -2x = 38 Divide each side by '-2'. x = -19 Simplifying x = -19
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