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Simplifying (x + -3) + (x + -5) = (30 + -1x) + -1(x + -2) Reorder the terms: (-3 + x) + (x + -5) = (30 + -1x) + -1(x + -2) Remove parenthesis around (-3 + x) -3 + x + (x + -5) = (30 + -1x) + -1(x + -2) Reorder the terms: -3 + x + (-5 + x) = (30 + -1x) + -1(x + -2) Remove parenthesis around (-5 + x) -3 + x + -5 + x = (30 + -1x) + -1(x + -2) Reorder the terms: -3 + -5 + x + x = (30 + -1x) + -1(x + -2) Combine like terms: -3 + -5 = -8 -8 + x + x = (30 + -1x) + -1(x + -2) Combine like terms: x + x = 2x -8 + 2x = (30 + -1x) + -1(x + -2) Remove parenthesis around (30 + -1x) -8 + 2x = 30 + -1x + -1(x + -2) Reorder the terms: -8 + 2x = 30 + -1x + -1(-2 + x) -8 + 2x = 30 + -1x + (-2 * -1 + x * -1) -8 + 2x = 30 + -1x + (2 + -1x) Reorder the terms: -8 + 2x = 30 + 2 + -1x + -1x Combine like terms: 30 + 2 = 32 -8 + 2x = 32 + -1x + -1x Combine like terms: -1x + -1x = -2x -8 + 2x = 32 + -2x Solving -8 + 2x = 32 + -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. -8 + 2x + 2x = 32 + -2x + 2x Combine like terms: 2x + 2x = 4x -8 + 4x = 32 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 4x = 32 + 0 -8 + 4x = 32 Add '8' to each side of the equation. -8 + 8 + 4x = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 32 + 8 4x = 32 + 8 Combine like terms: 32 + 8 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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