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Simplifying 5(x + 7) = 10 + 3x + -3 Reorder the terms: 5(7 + x) = 10 + 3x + -3 (7 * 5 + x * 5) = 10 + 3x + -3 (35 + 5x) = 10 + 3x + -3 Reorder the terms: 35 + 5x = 10 + -3 + 3x Combine like terms: 10 + -3 = 7 35 + 5x = 7 + 3x Solving 35 + 5x = 7 + 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 + 5x + -3x = 7 + 3x + -3x Combine like terms: 5x + -3x = 2x 35 + 2x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 35 + 2x = 7 + 0 35 + 2x = 7 Add '-35' to each side of the equation. 35 + -35 + 2x = 7 + -35 Combine like terms: 35 + -35 = 0 0 + 2x = 7 + -35 2x = 7 + -35 Combine like terms: 7 + -35 = -28 2x = -28 Divide each side by '2'. x = -14 Simplifying x = -14
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