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Simplifying 5(x + 7) = -2x + -10 Reorder the terms: 5(7 + x) = -2x + -10 (7 * 5 + x * 5) = -2x + -10 (35 + 5x) = -2x + -10 Reorder the terms: 35 + 5x = -10 + -2x Solving 35 + 5x = -10 + -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 = -10 + -2x + 2x Combine like terms: 5x + 2x = 7x 35 + 7x = -10 + -2x + 2x Combine like terms: -2x + 2x = 0 35 + 7x = -10 + 0 35 + 7x = -10 Add '-35' to each side of the equation. 35 + -35 + 7x = -10 + -35 Combine like terms: 35 + -35 = 0 0 + 7x = -10 + -35 7x = -10 + -35 Combine like terms: -10 + -35 = -45 7x = -45 Divide each side by '7'. x = -6.428571429 Simplifying x = -6.428571429
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