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Simplifying 2(4x + 2) + -5x = 3(4x + 1) + -17 Reorder the terms: 2(2 + 4x) + -5x = 3(4x + 1) + -17 (2 * 2 + 4x * 2) + -5x = 3(4x + 1) + -17 (4 + 8x) + -5x = 3(4x + 1) + -17 Combine like terms: 8x + -5x = 3x 4 + 3x = 3(4x + 1) + -17 Reorder the terms: 4 + 3x = 3(1 + 4x) + -17 4 + 3x = (1 * 3 + 4x * 3) + -17 4 + 3x = (3 + 12x) + -17 Reorder the terms: 4 + 3x = 3 + -17 + 12x Combine like terms: 3 + -17 = -14 4 + 3x = -14 + 12x Solving 4 + 3x = -14 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 4 + 3x + -12x = -14 + 12x + -12x Combine like terms: 3x + -12x = -9x 4 + -9x = -14 + 12x + -12x Combine like terms: 12x + -12x = 0 4 + -9x = -14 + 0 4 + -9x = -14 Add '-4' to each side of the equation. 4 + -4 + -9x = -14 + -4 Combine like terms: 4 + -4 = 0 0 + -9x = -14 + -4 -9x = -14 + -4 Combine like terms: -14 + -4 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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