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Simplifying 5(x + 7) = 2x + 2 Reorder the terms: 5(7 + x) = 2x + 2 (7 * 5 + x * 5) = 2x + 2 (35 + 5x) = 2x + 2 Reorder the terms: 35 + 5x = 2 + 2x Solving 35 + 5x = 2 + 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 + 5x + -2x = 2 + 2x + -2x Combine like terms: 5x + -2x = 3x 35 + 3x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 35 + 3x = 2 + 0 35 + 3x = 2 Add '-35' to each side of the equation. 35 + -35 + 3x = 2 + -35 Combine like terms: 35 + -35 = 0 0 + 3x = 2 + -35 3x = 2 + -35 Combine like terms: 2 + -35 = -33 3x = -33 Divide each side by '3'. x = -11 Simplifying x = -11
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