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Simplifying 5(x + 8) + -1(x + 6) = 10 Reorder the terms: 5(8 + x) + -1(x + 6) = 10 (8 * 5 + x * 5) + -1(x + 6) = 10 (40 + 5x) + -1(x + 6) = 10 Reorder the terms: 40 + 5x + -1(6 + x) = 10 40 + 5x + (6 * -1 + x * -1) = 10 40 + 5x + (-6 + -1x) = 10 Reorder the terms: 40 + -6 + 5x + -1x = 10 Combine like terms: 40 + -6 = 34 34 + 5x + -1x = 10 Combine like terms: 5x + -1x = 4x 34 + 4x = 10 Solving 34 + 4x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 4x = 10 + -34 Combine like terms: 34 + -34 = 0 0 + 4x = 10 + -34 4x = 10 + -34 Combine like terms: 10 + -34 = -24 4x = -24 Divide each side by '4'. x = -6 Simplifying x = -6
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