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Simplifying 8 + 3(2x + 7) = 5(3x + -1) Reorder the terms: 8 + 3(7 + 2x) = 5(3x + -1) 8 + (7 * 3 + 2x * 3) = 5(3x + -1) 8 + (21 + 6x) = 5(3x + -1) Combine like terms: 8 + 21 = 29 29 + 6x = 5(3x + -1) Reorder the terms: 29 + 6x = 5(-1 + 3x) 29 + 6x = (-1 * 5 + 3x * 5) 29 + 6x = (-5 + 15x) Solving 29 + 6x = -5 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 29 + 6x + -15x = -5 + 15x + -15x Combine like terms: 6x + -15x = -9x 29 + -9x = -5 + 15x + -15x Combine like terms: 15x + -15x = 0 29 + -9x = -5 + 0 29 + -9x = -5 Add '-29' to each side of the equation. 29 + -29 + -9x = -5 + -29 Combine like terms: 29 + -29 = 0 0 + -9x = -5 + -29 -9x = -5 + -29 Combine like terms: -5 + -29 = -34 -9x = -34 Divide each side by '-9'. x = 3.777777778 Simplifying x = 3.777777778
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