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Simplifying x + -64 = 5(2x + 3) + -7 Reorder the terms: -64 + x = 5(2x + 3) + -7 Reorder the terms: -64 + x = 5(3 + 2x) + -7 -64 + x = (3 * 5 + 2x * 5) + -7 -64 + x = (15 + 10x) + -7 Reorder the terms: -64 + x = 15 + -7 + 10x Combine like terms: 15 + -7 = 8 -64 + x = 8 + 10x Solving -64 + x = 8 + 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. -64 + x + -10x = 8 + 10x + -10x Combine like terms: x + -10x = -9x -64 + -9x = 8 + 10x + -10x Combine like terms: 10x + -10x = 0 -64 + -9x = 8 + 0 -64 + -9x = 8 Add '64' to each side of the equation. -64 + 64 + -9x = 8 + 64 Combine like terms: -64 + 64 = 0 0 + -9x = 8 + 64 -9x = 8 + 64 Combine like terms: 8 + 64 = 72 -9x = 72 Divide each side by '-9'. x = -8 Simplifying x = -8
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