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Simplifying 5(10 + -2x) = 35 + 5x (10 * 5 + -2x * 5) = 35 + 5x (50 + -10x) = 35 + 5x Solving 50 + -10x = 35 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 50 + -10x + -5x = 35 + 5x + -5x Combine like terms: -10x + -5x = -15x 50 + -15x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 50 + -15x = 35 + 0 50 + -15x = 35 Add '-50' to each side of the equation. 50 + -50 + -15x = 35 + -50 Combine like terms: 50 + -50 = 0 0 + -15x = 35 + -50 -15x = 35 + -50 Combine like terms: 35 + -50 = -15 -15x = -15 Divide each side by '-15'. x = 1 Simplifying x = 1
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