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Simplifying 6(x + 3) + 10x = 8x + 3(x + -9) Reorder the terms: 6(3 + x) + 10x = 8x + 3(x + -9) (3 * 6 + x * 6) + 10x = 8x + 3(x + -9) (18 + 6x) + 10x = 8x + 3(x + -9) Combine like terms: 6x + 10x = 16x 18 + 16x = 8x + 3(x + -9) Reorder the terms: 18 + 16x = 8x + 3(-9 + x) 18 + 16x = 8x + (-9 * 3 + x * 3) 18 + 16x = 8x + (-27 + 3x) Reorder the terms: 18 + 16x = -27 + 8x + 3x Combine like terms: 8x + 3x = 11x 18 + 16x = -27 + 11x Solving 18 + 16x = -27 + 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 + 16x + -11x = -27 + 11x + -11x Combine like terms: 16x + -11x = 5x 18 + 5x = -27 + 11x + -11x Combine like terms: 11x + -11x = 0 18 + 5x = -27 + 0 18 + 5x = -27 Add '-18' to each side of the equation. 18 + -18 + 5x = -27 + -18 Combine like terms: 18 + -18 = 0 0 + 5x = -27 + -18 5x = -27 + -18 Combine like terms: -27 + -18 = -45 5x = -45 Divide each side by '5'. x = -9 Simplifying x = -9
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