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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 = 7 -23 + 2x = 7 + -3x Solving -23 + 2x = 7 + -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 = 7 + -3x + 3x Combine like terms: 2x + 3x = 5x -23 + 5x = 7 + -3x + 3x Combine like terms: -3x + 3x = 0 -23 + 5x = 7 + 0 -23 + 5x = 7 Add '23' to each side of the equation. -23 + 23 + 5x = 7 + 23 Combine like terms: -23 + 23 = 0 0 + 5x = 7 + 23 5x = 7 + 23 Combine like terms: 7 + 23 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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