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Simplifying 3(x + 5) + -1(4x + -8) = -2x + 10 Reorder the terms: 3(5 + x) + -1(4x + -8) = -2x + 10 (5 * 3 + x * 3) + -1(4x + -8) = -2x + 10 (15 + 3x) + -1(4x + -8) = -2x + 10 Reorder the terms: 15 + 3x + -1(-8 + 4x) = -2x + 10 15 + 3x + (-8 * -1 + 4x * -1) = -2x + 10 15 + 3x + (8 + -4x) = -2x + 10 Reorder the terms: 15 + 8 + 3x + -4x = -2x + 10 Combine like terms: 15 + 8 = 23 23 + 3x + -4x = -2x + 10 Combine like terms: 3x + -4x = -1x 23 + -1x = -2x + 10 Reorder the terms: 23 + -1x = 10 + -2x Solving 23 + -1x = 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. 23 + -1x + 2x = 10 + -2x + 2x Combine like terms: -1x + 2x = 1x 23 + 1x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 23 + 1x = 10 + 0 23 + 1x = 10 Add '-23' to each side of the equation. 23 + -23 + 1x = 10 + -23 Combine like terms: 23 + -23 = 0 0 + 1x = 10 + -23 1x = 10 + -23 Combine like terms: 10 + -23 = -13 1x = -13 Divide each side by '1'. x = -13 Simplifying x = -13
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