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Simplifying 5(x + 3) + -7(x + 1) = -10 Reorder the terms: 5(3 + x) + -7(x + 1) = -10 (3 * 5 + x * 5) + -7(x + 1) = -10 (15 + 5x) + -7(x + 1) = -10 Reorder the terms: 15 + 5x + -7(1 + x) = -10 15 + 5x + (1 * -7 + x * -7) = -10 15 + 5x + (-7 + -7x) = -10 Reorder the terms: 15 + -7 + 5x + -7x = -10 Combine like terms: 15 + -7 = 8 8 + 5x + -7x = -10 Combine like terms: 5x + -7x = -2x 8 + -2x = -10 Solving 8 + -2x = -10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -2x = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = -10 + -8 -2x = -10 + -8 Combine like terms: -10 + -8 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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