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Simplifying 4(5x + -3) = 2(5x + 4) Reorder the terms: 4(-3 + 5x) = 2(5x + 4) (-3 * 4 + 5x * 4) = 2(5x + 4) (-12 + 20x) = 2(5x + 4) Reorder the terms: -12 + 20x = 2(4 + 5x) -12 + 20x = (4 * 2 + 5x * 2) -12 + 20x = (8 + 10x) Solving -12 + 20x = 8 + 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. -12 + 20x + -10x = 8 + 10x + -10x Combine like terms: 20x + -10x = 10x -12 + 10x = 8 + 10x + -10x Combine like terms: 10x + -10x = 0 -12 + 10x = 8 + 0 -12 + 10x = 8 Add '12' to each side of the equation. -12 + 12 + 10x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 10x = 8 + 12 10x = 8 + 12 Combine like terms: 8 + 12 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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