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Simplifying 7(5 + -1x) = 2x + -1 (5 * 7 + -1x * 7) = 2x + -1 (35 + -7x) = 2x + -1 Reorder the terms: 35 + -7x = -1 + 2x Solving 35 + -7x = -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 + -7x + -2x = -1 + 2x + -2x Combine like terms: -7x + -2x = -9x 35 + -9x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 35 + -9x = -1 + 0 35 + -9x = -1 Add '-35' to each side of the equation. 35 + -35 + -9x = -1 + -35 Combine like terms: 35 + -35 = 0 0 + -9x = -1 + -35 -9x = -1 + -35 Combine like terms: -1 + -35 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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