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Simplifying 3(2 + -1x) + -1(3x + 1) = 23 + 2(x + -5) (2 * 3 + -1x * 3) + -1(3x + 1) = 23 + 2(x + -5) (6 + -3x) + -1(3x + 1) = 23 + 2(x + -5) Reorder the terms: 6 + -3x + -1(1 + 3x) = 23 + 2(x + -5) 6 + -3x + (1 * -1 + 3x * -1) = 23 + 2(x + -5) 6 + -3x + (-1 + -3x) = 23 + 2(x + -5) Reorder the terms: 6 + -1 + -3x + -3x = 23 + 2(x + -5) Combine like terms: 6 + -1 = 5 5 + -3x + -3x = 23 + 2(x + -5) Combine like terms: -3x + -3x = -6x 5 + -6x = 23 + 2(x + -5) Reorder the terms: 5 + -6x = 23 + 2(-5 + x) 5 + -6x = 23 + (-5 * 2 + x * 2) 5 + -6x = 23 + (-10 + 2x) Combine like terms: 23 + -10 = 13 5 + -6x = 13 + 2x Solving 5 + -6x = 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. 5 + -6x + -2x = 13 + 2x + -2x Combine like terms: -6x + -2x = -8x 5 + -8x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -8x = 13 + 0 5 + -8x = 13 Add '-5' to each side of the equation. 5 + -5 + -8x = 13 + -5 Combine like terms: 5 + -5 = 0 0 + -8x = 13 + -5 -8x = 13 + -5 Combine like terms: 13 + -5 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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