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Simplifying 2 + -3(x + -1) + 6(x + 2) = 23 + -1x Reorder the terms: 2 + -3(-1 + x) + 6(x + 2) = 23 + -1x 2 + (-1 * -3 + x * -3) + 6(x + 2) = 23 + -1x 2 + (3 + -3x) + 6(x + 2) = 23 + -1x Reorder the terms: 2 + 3 + -3x + 6(2 + x) = 23 + -1x 2 + 3 + -3x + (2 * 6 + x * 6) = 23 + -1x 2 + 3 + -3x + (12 + 6x) = 23 + -1x Reorder the terms: 2 + 3 + 12 + -3x + 6x = 23 + -1x Combine like terms: 2 + 3 = 5 5 + 12 + -3x + 6x = 23 + -1x Combine like terms: 5 + 12 = 17 17 + -3x + 6x = 23 + -1x Combine like terms: -3x + 6x = 3x 17 + 3x = 23 + -1x Solving 17 + 3x = 23 + -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. 17 + 3x + x = 23 + -1x + x Combine like terms: 3x + x = 4x 17 + 4x = 23 + -1x + x Combine like terms: -1x + x = 0 17 + 4x = 23 + 0 17 + 4x = 23 Add '-17' to each side of the equation. 17 + -17 + 4x = 23 + -17 Combine like terms: 17 + -17 = 0 0 + 4x = 23 + -17 4x = 23 + -17 Combine like terms: 23 + -17 = 6 4x = 6 Divide each side by '4'. x = 1.5 Simplifying x = 1.5
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