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Simplifying 4(5x + 8) = 6(3x + -6) Reorder the terms: 4(8 + 5x) = 6(3x + -6) (8 * 4 + 5x * 4) = 6(3x + -6) (32 + 20x) = 6(3x + -6) Reorder the terms: 32 + 20x = 6(-6 + 3x) 32 + 20x = (-6 * 6 + 3x * 6) 32 + 20x = (-36 + 18x) Solving 32 + 20x = -36 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 32 + 20x + -18x = -36 + 18x + -18x Combine like terms: 20x + -18x = 2x 32 + 2x = -36 + 18x + -18x Combine like terms: 18x + -18x = 0 32 + 2x = -36 + 0 32 + 2x = -36 Add '-32' to each side of the equation. 32 + -32 + 2x = -36 + -32 Combine like terms: 32 + -32 = 0 0 + 2x = -36 + -32 2x = -36 + -32 Combine like terms: -36 + -32 = -68 2x = -68 Divide each side by '2'. x = -34 Simplifying x = -34
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