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Simplifying 2x + -3(x + 10) + 1 = 1 + 2(x + 7) Reorder the terms: 2x + -3(10 + x) + 1 = 1 + 2(x + 7) 2x + (10 * -3 + x * -3) + 1 = 1 + 2(x + 7) 2x + (-30 + -3x) + 1 = 1 + 2(x + 7) Reorder the terms: -30 + 1 + 2x + -3x = 1 + 2(x + 7) Combine like terms: -30 + 1 = -29 -29 + 2x + -3x = 1 + 2(x + 7) Combine like terms: 2x + -3x = -1x -29 + -1x = 1 + 2(x + 7) Reorder the terms: -29 + -1x = 1 + 2(7 + x) -29 + -1x = 1 + (7 * 2 + x * 2) -29 + -1x = 1 + (14 + 2x) Combine like terms: 1 + 14 = 15 -29 + -1x = 15 + 2x Solving -29 + -1x = 15 + 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. -29 + -1x + -2x = 15 + 2x + -2x Combine like terms: -1x + -2x = -3x -29 + -3x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 -29 + -3x = 15 + 0 -29 + -3x = 15 Add '29' to each side of the equation. -29 + 29 + -3x = 15 + 29 Combine like terms: -29 + 29 = 0 0 + -3x = 15 + 29 -3x = 15 + 29 Combine like terms: 15 + 29 = 44 -3x = 44 Divide each side by '-3'. x = -14.66666667 Simplifying x = -14.66666667
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