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Simplifying 5(x + 1) + 2 = -7(x + -2) + -10 Reorder the terms: 5(1 + x) + 2 = -7(x + -2) + -10 (1 * 5 + x * 5) + 2 = -7(x + -2) + -10 (5 + 5x) + 2 = -7(x + -2) + -10 Reorder the terms: 5 + 2 + 5x = -7(x + -2) + -10 Combine like terms: 5 + 2 = 7 7 + 5x = -7(x + -2) + -10 Reorder the terms: 7 + 5x = -7(-2 + x) + -10 7 + 5x = (-2 * -7 + x * -7) + -10 7 + 5x = (14 + -7x) + -10 Reorder the terms: 7 + 5x = 14 + -10 + -7x Combine like terms: 14 + -10 = 4 7 + 5x = 4 + -7x Solving 7 + 5x = 4 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 7 + 5x + 7x = 4 + -7x + 7x Combine like terms: 5x + 7x = 12x 7 + 12x = 4 + -7x + 7x Combine like terms: -7x + 7x = 0 7 + 12x = 4 + 0 7 + 12x = 4 Add '-7' to each side of the equation. 7 + -7 + 12x = 4 + -7 Combine like terms: 7 + -7 = 0 0 + 12x = 4 + -7 12x = 4 + -7 Combine like terms: 4 + -7 = -3 12x = -3 Divide each side by '12'. x = -0.25 Simplifying x = -0.25
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