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Simplifying 100 + -2x = (5 + x) * 2 + -10 Reorder the terms for easier multiplication: 100 + -2x = 2(5 + x) + -10 100 + -2x = (5 * 2 + x * 2) + -10 100 + -2x = (10 + 2x) + -10 Reorder the terms: 100 + -2x = 10 + -10 + 2x Combine like terms: 10 + -10 = 0 100 + -2x = 0 + 2x 100 + -2x = 2x Solving 100 + -2x = 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. 100 + -2x + -2x = 2x + -2x Combine like terms: -2x + -2x = -4x 100 + -4x = 2x + -2x Combine like terms: 2x + -2x = 0 100 + -4x = 0 Add '-100' to each side of the equation. 100 + -100 + -4x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -4x = 0 + -100 -4x = 0 + -100 Combine like terms: 0 + -100 = -100 -4x = -100 Divide each side by '-4'. x = 25 Simplifying x = 25
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