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Simplifying 3(2x + 8) + -1(x + -5) = 3x + 7 Reorder the terms: 3(8 + 2x) + -1(x + -5) = 3x + 7 (8 * 3 + 2x * 3) + -1(x + -5) = 3x + 7 (24 + 6x) + -1(x + -5) = 3x + 7 Reorder the terms: 24 + 6x + -1(-5 + x) = 3x + 7 24 + 6x + (-5 * -1 + x * -1) = 3x + 7 24 + 6x + (5 + -1x) = 3x + 7 Reorder the terms: 24 + 5 + 6x + -1x = 3x + 7 Combine like terms: 24 + 5 = 29 29 + 6x + -1x = 3x + 7 Combine like terms: 6x + -1x = 5x 29 + 5x = 3x + 7 Reorder the terms: 29 + 5x = 7 + 3x Solving 29 + 5x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 29 + 5x + -3x = 7 + 3x + -3x Combine like terms: 5x + -3x = 2x 29 + 2x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 29 + 2x = 7 + 0 29 + 2x = 7 Add '-29' to each side of the equation. 29 + -29 + 2x = 7 + -29 Combine like terms: 29 + -29 = 0 0 + 2x = 7 + -29 2x = 7 + -29 Combine like terms: 7 + -29 = -22 2x = -22 Divide each side by '2'. x = -11 Simplifying x = -11
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