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Simplifying 3(x + 6) + -8x = 2 + 5(2x + 1) Reorder the terms: 3(6 + x) + -8x = 2 + 5(2x + 1) (6 * 3 + x * 3) + -8x = 2 + 5(2x + 1) (18 + 3x) + -8x = 2 + 5(2x + 1) Combine like terms: 3x + -8x = -5x 18 + -5x = 2 + 5(2x + 1) Reorder the terms: 18 + -5x = 2 + 5(1 + 2x) 18 + -5x = 2 + (1 * 5 + 2x * 5) 18 + -5x = 2 + (5 + 10x) Combine like terms: 2 + 5 = 7 18 + -5x = 7 + 10x Solving 18 + -5x = 7 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 18 + -5x + -10x = 7 + 10x + -10x Combine like terms: -5x + -10x = -15x 18 + -15x = 7 + 10x + -10x Combine like terms: 10x + -10x = 0 18 + -15x = 7 + 0 18 + -15x = 7 Add '-18' to each side of the equation. 18 + -18 + -15x = 7 + -18 Combine like terms: 18 + -18 = 0 0 + -15x = 7 + -18 -15x = 7 + -18 Combine like terms: 7 + -18 = -11 -15x = -11 Divide each side by '-15'. x = 0.7333333333 Simplifying x = 0.7333333333
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