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Simplifying 2(x + -3) + -17 = 13 + 3(x + 2) Reorder the terms: 2(-3 + x) + -17 = 13 + 3(x + 2) (-3 * 2 + x * 2) + -17 = 13 + 3(x + 2) (-6 + 2x) + -17 = 13 + 3(x + 2) Reorder the terms: -6 + -17 + 2x = 13 + 3(x + 2) Combine like terms: -6 + -17 = -23 -23 + 2x = 13 + 3(x + 2) Reorder the terms: -23 + 2x = 13 + 3(2 + x) -23 + 2x = 13 + (2 * 3 + x * 3) -23 + 2x = 13 + (6 + 3x) Combine like terms: 13 + 6 = 19 -23 + 2x = 19 + 3x Solving -23 + 2x = 19 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -23 + 2x + -3x = 19 + 3x + -3x Combine like terms: 2x + -3x = -1x -23 + -1x = 19 + 3x + -3x Combine like terms: 3x + -3x = 0 -23 + -1x = 19 + 0 -23 + -1x = 19 Add '23' to each side of the equation. -23 + 23 + -1x = 19 + 23 Combine like terms: -23 + 23 = 0 0 + -1x = 19 + 23 -1x = 19 + 23 Combine like terms: 19 + 23 = 42 -1x = 42 Divide each side by '-1'. x = -42 Simplifying x = -42
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