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Simplifying 7(5 + -1x) = 3x + 5 (5 * 7 + -1x * 7) = 3x + 5 (35 + -7x) = 3x + 5 Reorder the terms: 35 + -7x = 5 + 3x Solving 35 + -7x = 5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 35 + -7x + -3x = 5 + 3x + -3x Combine like terms: -7x + -3x = -10x 35 + -10x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 35 + -10x = 5 + 0 35 + -10x = 5 Add '-35' to each side of the equation. 35 + -35 + -10x = 5 + -35 Combine like terms: 35 + -35 = 0 0 + -10x = 5 + -35 -10x = 5 + -35 Combine like terms: 5 + -35 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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