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Simplifying 2 + 3(x + 6) = x + 7 + -1(2x + -8) Reorder the terms: 2 + 3(6 + x) = x + 7 + -1(2x + -8) 2 + (6 * 3 + x * 3) = x + 7 + -1(2x + -8) 2 + (18 + 3x) = x + 7 + -1(2x + -8) Combine like terms: 2 + 18 = 20 20 + 3x = x + 7 + -1(2x + -8) Reorder the terms: 20 + 3x = x + 7 + -1(-8 + 2x) 20 + 3x = x + 7 + (-8 * -1 + 2x * -1) 20 + 3x = x + 7 + (8 + -2x) Reorder the terms: 20 + 3x = 7 + 8 + x + -2x Combine like terms: 7 + 8 = 15 20 + 3x = 15 + x + -2x Combine like terms: x + -2x = -1x 20 + 3x = 15 + -1x Solving 20 + 3x = 15 + -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. 20 + 3x + x = 15 + -1x + x Combine like terms: 3x + x = 4x 20 + 4x = 15 + -1x + x Combine like terms: -1x + x = 0 20 + 4x = 15 + 0 20 + 4x = 15 Add '-20' to each side of the equation. 20 + -20 + 4x = 15 + -20 Combine like terms: 20 + -20 = 0 0 + 4x = 15 + -20 4x = 15 + -20 Combine like terms: 15 + -20 = -5 4x = -5 Divide each side by '4'. x = -1.25 Simplifying x = -1.25
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