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Simplifying 2x + 3 + -4x = 17 + -1(3x + 2) Reorder the terms: 3 + 2x + -4x = 17 + -1(3x + 2) Combine like terms: 2x + -4x = -2x 3 + -2x = 17 + -1(3x + 2) Reorder the terms: 3 + -2x = 17 + -1(2 + 3x) 3 + -2x = 17 + (2 * -1 + 3x * -1) 3 + -2x = 17 + (-2 + -3x) Combine like terms: 17 + -2 = 15 3 + -2x = 15 + -3x Solving 3 + -2x = 15 + -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. 3 + -2x + 3x = 15 + -3x + 3x Combine like terms: -2x + 3x = 1x 3 + 1x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 3 + 1x = 15 + 0 3 + 1x = 15 Add '-3' to each side of the equation. 3 + -3 + 1x = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 15 + -3 1x = 15 + -3 Combine like terms: 15 + -3 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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