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Simplifying 4(2x + 3) + 19 = 2(3x + 17) + -29 Reorder the terms: 4(3 + 2x) + 19 = 2(3x + 17) + -29 (3 * 4 + 2x * 4) + 19 = 2(3x + 17) + -29 (12 + 8x) + 19 = 2(3x + 17) + -29 Reorder the terms: 12 + 19 + 8x = 2(3x + 17) + -29 Combine like terms: 12 + 19 = 31 31 + 8x = 2(3x + 17) + -29 Reorder the terms: 31 + 8x = 2(17 + 3x) + -29 31 + 8x = (17 * 2 + 3x * 2) + -29 31 + 8x = (34 + 6x) + -29 Reorder the terms: 31 + 8x = 34 + -29 + 6x Combine like terms: 34 + -29 = 5 31 + 8x = 5 + 6x Solving 31 + 8x = 5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 31 + 8x + -6x = 5 + 6x + -6x Combine like terms: 8x + -6x = 2x 31 + 2x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 31 + 2x = 5 + 0 31 + 2x = 5 Add '-31' to each side of the equation. 31 + -31 + 2x = 5 + -31 Combine like terms: 31 + -31 = 0 0 + 2x = 5 + -31 2x = 5 + -31 Combine like terms: 5 + -31 = -26 2x = -26 Divide each side by '2'. x = -13 Simplifying x = -13
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