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Simplifying 45(24) = x + 8(2x + -8) Multiply 45 * 24 1080 = x + 8(2x + -8) Reorder the terms: 1080 = x + 8(-8 + 2x) 1080 = x + (-8 * 8 + 2x * 8) 1080 = x + (-64 + 16x) Reorder the terms: 1080 = -64 + x + 16x Combine like terms: x + 16x = 17x 1080 = -64 + 17x Solving 1080 = -64 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 1080 + -17x = -64 + 17x + -17x Combine like terms: 17x + -17x = 0 1080 + -17x = -64 + 0 1080 + -17x = -64 Add '-1080' to each side of the equation. 1080 + -1080 + -17x = -64 + -1080 Combine like terms: 1080 + -1080 = 0 0 + -17x = -64 + -1080 -17x = -64 + -1080 Combine like terms: -64 + -1080 = -1144 -17x = -1144 Divide each side by '-17'. x = 67.29411765 Simplifying x = 67.29411765
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