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Simplifying 10x + -2x + 64 = 10x + 34 Reorder the terms: 64 + 10x + -2x = 10x + 34 Combine like terms: 10x + -2x = 8x 64 + 8x = 10x + 34 Reorder the terms: 64 + 8x = 34 + 10x Solving 64 + 8x = 34 + 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 + 8x + -10x = 34 + 10x + -10x Combine like terms: 8x + -10x = -2x 64 + -2x = 34 + 10x + -10x Combine like terms: 10x + -10x = 0 64 + -2x = 34 + 0 64 + -2x = 34 Add '-64' to each side of the equation. 64 + -64 + -2x = 34 + -64 Combine like terms: 64 + -64 = 0 0 + -2x = 34 + -64 -2x = 34 + -64 Combine like terms: 34 + -64 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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