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Simplifying 5(x + 1) + 3 = -2(x + -10) + -2 Reorder the terms: 5(1 + x) + 3 = -2(x + -10) + -2 (1 * 5 + x * 5) + 3 = -2(x + -10) + -2 (5 + 5x) + 3 = -2(x + -10) + -2 Reorder the terms: 5 + 3 + 5x = -2(x + -10) + -2 Combine like terms: 5 + 3 = 8 8 + 5x = -2(x + -10) + -2 Reorder the terms: 8 + 5x = -2(-10 + x) + -2 8 + 5x = (-10 * -2 + x * -2) + -2 8 + 5x = (20 + -2x) + -2 Reorder the terms: 8 + 5x = 20 + -2 + -2x Combine like terms: 20 + -2 = 18 8 + 5x = 18 + -2x Solving 8 + 5x = 18 + -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. 8 + 5x + 2x = 18 + -2x + 2x Combine like terms: 5x + 2x = 7x 8 + 7x = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + 7x = 18 + 0 8 + 7x = 18 Add '-8' to each side of the equation. 8 + -8 + 7x = 18 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = 18 + -8 7x = 18 + -8 Combine like terms: 18 + -8 = 10 7x = 10 Divide each side by '7'. x = 1.428571429 Simplifying x = 1.428571429
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