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Simplifying 8(3x + -4) = 2(5x + 12) Reorder the terms: 8(-4 + 3x) = 2(5x + 12) (-4 * 8 + 3x * 8) = 2(5x + 12) (-32 + 24x) = 2(5x + 12) Reorder the terms: -32 + 24x = 2(12 + 5x) -32 + 24x = (12 * 2 + 5x * 2) -32 + 24x = (24 + 10x) Solving -32 + 24x = 24 + 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. -32 + 24x + -10x = 24 + 10x + -10x Combine like terms: 24x + -10x = 14x -32 + 14x = 24 + 10x + -10x Combine like terms: 10x + -10x = 0 -32 + 14x = 24 + 0 -32 + 14x = 24 Add '32' to each side of the equation. -32 + 32 + 14x = 24 + 32 Combine like terms: -32 + 32 = 0 0 + 14x = 24 + 32 14x = 24 + 32 Combine like terms: 24 + 32 = 56 14x = 56 Divide each side by '14'. x = 4 Simplifying x = 4
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