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Simplifying 3(x + 6) + -8x = 3(x + 2) + 8x Reorder the terms: 3(6 + x) + -8x = 3(x + 2) + 8x (6 * 3 + x * 3) + -8x = 3(x + 2) + 8x (18 + 3x) + -8x = 3(x + 2) + 8x Combine like terms: 3x + -8x = -5x 18 + -5x = 3(x + 2) + 8x Reorder the terms: 18 + -5x = 3(2 + x) + 8x 18 + -5x = (2 * 3 + x * 3) + 8x 18 + -5x = (6 + 3x) + 8x Combine like terms: 3x + 8x = 11x 18 + -5x = 6 + 11x Solving 18 + -5x = 6 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 18 + -5x + -11x = 6 + 11x + -11x Combine like terms: -5x + -11x = -16x 18 + -16x = 6 + 11x + -11x Combine like terms: 11x + -11x = 0 18 + -16x = 6 + 0 18 + -16x = 6 Add '-18' to each side of the equation. 18 + -18 + -16x = 6 + -18 Combine like terms: 18 + -18 = 0 0 + -16x = 6 + -18 -16x = 6 + -18 Combine like terms: 6 + -18 = -12 -16x = -12 Divide each side by '-16'. x = 0.75 Simplifying x = 0.75
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