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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 = 31 31 + 2x + -3x = -1 + 2(x + 7) Combine like terms: 2x + -3x = -1x 31 + -1x = -1 + 2(x + 7) Reorder the terms: 31 + -1x = -1 + 2(7 + x) 31 + -1x = -1 + (7 * 2 + x * 2) 31 + -1x = -1 + (14 + 2x) Combine like terms: -1 + 14 = 13 31 + -1x = 13 + 2x Solving 31 + -1x = 13 + 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. 31 + -1x + -2x = 13 + 2x + -2x Combine like terms: -1x + -2x = -3x 31 + -3x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 31 + -3x = 13 + 0 31 + -3x = 13 Add '-31' to each side of the equation. 31 + -31 + -3x = 13 + -31 Combine like terms: 31 + -31 = 0 0 + -3x = 13 + -31 -3x = 13 + -31 Combine like terms: 13 + -31 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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