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Simplifying 5(2x + 8) = 2x + -64 Reorder the terms: 5(8 + 2x) = 2x + -64 (8 * 5 + 2x * 5) = 2x + -64 (40 + 10x) = 2x + -64 Reorder the terms: 40 + 10x = -64 + 2x Solving 40 + 10x = -64 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 40 + 10x + -2x = -64 + 2x + -2x Combine like terms: 10x + -2x = 8x 40 + 8x = -64 + 2x + -2x Combine like terms: 2x + -2x = 0 40 + 8x = -64 + 0 40 + 8x = -64 Add '-40' to each side of the equation. 40 + -40 + 8x = -64 + -40 Combine like terms: 40 + -40 = 0 0 + 8x = -64 + -40 8x = -64 + -40 Combine like terms: -64 + -40 = -104 8x = -104 Divide each side by '8'. x = -13 Simplifying x = -13
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