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Simplifying 64 + 2(100 + -1x) = 36 + 2x 64 + (100 * 2 + -1x * 2) = 36 + 2x 64 + (200 + -2x) = 36 + 2x Combine like terms: 64 + 200 = 264 264 + -2x = 36 + 2x Solving 264 + -2x = 36 + 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. 264 + -2x + -2x = 36 + 2x + -2x Combine like terms: -2x + -2x = -4x 264 + -4x = 36 + 2x + -2x Combine like terms: 2x + -2x = 0 264 + -4x = 36 + 0 264 + -4x = 36 Add '-264' to each side of the equation. 264 + -264 + -4x = 36 + -264 Combine like terms: 264 + -264 = 0 0 + -4x = 36 + -264 -4x = 36 + -264 Combine like terms: 36 + -264 = -228 -4x = -228 Divide each side by '-4'. x = 57 Simplifying x = 57
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