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Simplifying -1(3x + -5) + -1(7x + -24) = 3 + (x + 1) + -1(2x + -7) Reorder the terms: -1(-5 + 3x) + -1(7x + -24) = 3 + (x + 1) + -1(2x + -7) (-5 * -1 + 3x * -1) + -1(7x + -24) = 3 + (x + 1) + -1(2x + -7) (5 + -3x) + -1(7x + -24) = 3 + (x + 1) + -1(2x + -7) Reorder the terms: 5 + -3x + -1(-24 + 7x) = 3 + (x + 1) + -1(2x + -7) 5 + -3x + (-24 * -1 + 7x * -1) = 3 + (x + 1) + -1(2x + -7) 5 + -3x + (24 + -7x) = 3 + (x + 1) + -1(2x + -7) Reorder the terms: 5 + 24 + -3x + -7x = 3 + (x + 1) + -1(2x + -7) Combine like terms: 5 + 24 = 29 29 + -3x + -7x = 3 + (x + 1) + -1(2x + -7) Combine like terms: -3x + -7x = -10x 29 + -10x = 3 + (x + 1) + -1(2x + -7) Reorder the terms: 29 + -10x = 3 + (1 + x) + -1(2x + -7) Remove parenthesis around (1 + x) 29 + -10x = 3 + 1 + x + -1(2x + -7) Reorder the terms: 29 + -10x = 3 + 1 + x + -1(-7 + 2x) 29 + -10x = 3 + 1 + x + (-7 * -1 + 2x * -1) 29 + -10x = 3 + 1 + x + (7 + -2x) Reorder the terms: 29 + -10x = 3 + 1 + 7 + x + -2x Combine like terms: 3 + 1 = 4 29 + -10x = 4 + 7 + x + -2x Combine like terms: 4 + 7 = 11 29 + -10x = 11 + x + -2x Combine like terms: x + -2x = -1x 29 + -10x = 11 + -1x Solving 29 + -10x = 11 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 29 + -10x + x = 11 + -1x + x Combine like terms: -10x + x = -9x 29 + -9x = 11 + -1x + x Combine like terms: -1x + x = 0 29 + -9x = 11 + 0 29 + -9x = 11 Add '-29' to each side of the equation. 29 + -29 + -9x = 11 + -29 Combine like terms: 29 + -29 = 0 0 + -9x = 11 + -29 -9x = 11 + -29 Combine like terms: 11 + -29 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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