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Simplifying (x + -3) + -7 = 2(x + 17) + -3(x + 1) Reorder the terms: (-3 + x) + -7 = 2(x + 17) + -3(x + 1) Remove parenthesis around (-3 + x) -3 + x + -7 = 2(x + 17) + -3(x + 1) Reorder the terms: -3 + -7 + x = 2(x + 17) + -3(x + 1) Combine like terms: -3 + -7 = -10 -10 + x = 2(x + 17) + -3(x + 1) Reorder the terms: -10 + x = 2(17 + x) + -3(x + 1) -10 + x = (17 * 2 + x * 2) + -3(x + 1) -10 + x = (34 + 2x) + -3(x + 1) Reorder the terms: -10 + x = 34 + 2x + -3(1 + x) -10 + x = 34 + 2x + (1 * -3 + x * -3) -10 + x = 34 + 2x + (-3 + -3x) Reorder the terms: -10 + x = 34 + -3 + 2x + -3x Combine like terms: 34 + -3 = 31 -10 + x = 31 + 2x + -3x Combine like terms: 2x + -3x = -1x -10 + x = 31 + -1x Solving -10 + x = 31 + -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. -10 + x + x = 31 + -1x + x Combine like terms: x + x = 2x -10 + 2x = 31 + -1x + x Combine like terms: -1x + x = 0 -10 + 2x = 31 + 0 -10 + 2x = 31 Add '10' to each side of the equation. -10 + 10 + 2x = 31 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 31 + 10 2x = 31 + 10 Combine like terms: 31 + 10 = 41 2x = 41 Divide each side by '2'. x = 20.5 Simplifying x = 20.5
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