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Simplifying 4(3x + -4) = 2(5x + 2) Reorder the terms: 4(-4 + 3x) = 2(5x + 2) (-4 * 4 + 3x * 4) = 2(5x + 2) (-16 + 12x) = 2(5x + 2) Reorder the terms: -16 + 12x = 2(2 + 5x) -16 + 12x = (2 * 2 + 5x * 2) -16 + 12x = (4 + 10x) Solving -16 + 12x = 4 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -16 + 12x + -10x = 4 + 10x + -10x Combine like terms: 12x + -10x = 2x -16 + 2x = 4 + 10x + -10x Combine like terms: 10x + -10x = 0 -16 + 2x = 4 + 0 -16 + 2x = 4 Add '16' to each side of the equation. -16 + 16 + 2x = 4 + 16 Combine like terms: -16 + 16 = 0 0 + 2x = 4 + 16 2x = 4 + 16 Combine like terms: 4 + 16 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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