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Simplifying 3(3 + -1x) + 5 = 2(-2x + 1) + 17 (3 * 3 + -1x * 3) + 5 = 2(-2x + 1) + 17 (9 + -3x) + 5 = 2(-2x + 1) + 17 Reorder the terms: 9 + 5 + -3x = 2(-2x + 1) + 17 Combine like terms: 9 + 5 = 14 14 + -3x = 2(-2x + 1) + 17 Reorder the terms: 14 + -3x = 2(1 + -2x) + 17 14 + -3x = (1 * 2 + -2x * 2) + 17 14 + -3x = (2 + -4x) + 17 Reorder the terms: 14 + -3x = 2 + 17 + -4x Combine like terms: 2 + 17 = 19 14 + -3x = 19 + -4x Solving 14 + -3x = 19 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 14 + -3x + 4x = 19 + -4x + 4x Combine like terms: -3x + 4x = 1x 14 + 1x = 19 + -4x + 4x Combine like terms: -4x + 4x = 0 14 + 1x = 19 + 0 14 + 1x = 19 Add '-14' to each side of the equation. 14 + -14 + 1x = 19 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 19 + -14 1x = 19 + -14 Combine like terms: 19 + -14 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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