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Simplifying 8(3x + -4) = 5(4x + 8) Reorder the terms: 8(-4 + 3x) = 5(4x + 8) (-4 * 8 + 3x * 8) = 5(4x + 8) (-32 + 24x) = 5(4x + 8) Reorder the terms: -32 + 24x = 5(8 + 4x) -32 + 24x = (8 * 5 + 4x * 5) -32 + 24x = (40 + 20x) Solving -32 + 24x = 40 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -32 + 24x + -20x = 40 + 20x + -20x Combine like terms: 24x + -20x = 4x -32 + 4x = 40 + 20x + -20x Combine like terms: 20x + -20x = 0 -32 + 4x = 40 + 0 -32 + 4x = 40 Add '32' to each side of the equation. -32 + 32 + 4x = 40 + 32 Combine like terms: -32 + 32 = 0 0 + 4x = 40 + 32 4x = 40 + 32 Combine like terms: 40 + 32 = 72 4x = 72 Divide each side by '4'. x = 18 Simplifying x = 18
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