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Simplifying 5(7 + -2x) = 2x + -1 (7 * 5 + -2x * 5) = 2x + -1 (35 + -10x) = 2x + -1 Reorder the terms: 35 + -10x = -1 + 2x Solving 35 + -10x = -1 + 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. 35 + -10x + -2x = -1 + 2x + -2x Combine like terms: -10x + -2x = -12x 35 + -12x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 35 + -12x = -1 + 0 35 + -12x = -1 Add '-35' to each side of the equation. 35 + -35 + -12x = -1 + -35 Combine like terms: 35 + -35 = 0 0 + -12x = -1 + -35 -12x = -1 + -35 Combine like terms: -1 + -35 = -36 -12x = -36 Divide each side by '-12'. x = 3 Simplifying x = 3
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