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Simplifying 2(x + -3) + -17 = 13 + -1(x + 2) Reorder the terms: 2(-3 + x) + -17 = 13 + -1(x + 2) (-3 * 2 + x * 2) + -17 = 13 + -1(x + 2) (-6 + 2x) + -17 = 13 + -1(x + 2) Reorder the terms: -6 + -17 + 2x = 13 + -1(x + 2) Combine like terms: -6 + -17 = -23 -23 + 2x = 13 + -1(x + 2) Reorder the terms: -23 + 2x = 13 + -1(2 + x) -23 + 2x = 13 + (2 * -1 + x * -1) -23 + 2x = 13 + (-2 + -1x) Combine like terms: 13 + -2 = 11 -23 + 2x = 11 + -1x Solving -23 + 2x = 11 + -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. -23 + 2x + x = 11 + -1x + x Combine like terms: 2x + x = 3x -23 + 3x = 11 + -1x + x Combine like terms: -1x + x = 0 -23 + 3x = 11 + 0 -23 + 3x = 11 Add '23' to each side of the equation. -23 + 23 + 3x = 11 + 23 Combine like terms: -23 + 23 = 0 0 + 3x = 11 + 23 3x = 11 + 23 Combine like terms: 11 + 23 = 34 3x = 34 Divide each side by '3'. x = 11.33333333 Simplifying x = 11.33333333
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