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Simplifying 6(x + 2) + 10x = 8x + 3(x + -9) Reorder the terms: 6(2 + x) + 10x = 8x + 3(x + -9) (2 * 6 + x * 6) + 10x = 8x + 3(x + -9) (12 + 6x) + 10x = 8x + 3(x + -9) Combine like terms: 6x + 10x = 16x 12 + 16x = 8x + 3(x + -9) Reorder the terms: 12 + 16x = 8x + 3(-9 + x) 12 + 16x = 8x + (-9 * 3 + x * 3) 12 + 16x = 8x + (-27 + 3x) Reorder the terms: 12 + 16x = -27 + 8x + 3x Combine like terms: 8x + 3x = 11x 12 + 16x = -27 + 11x Solving 12 + 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. 12 + 16x + -11x = -27 + 11x + -11x Combine like terms: 16x + -11x = 5x 12 + 5x = -27 + 11x + -11x Combine like terms: 11x + -11x = 0 12 + 5x = -27 + 0 12 + 5x = -27 Add '-12' to each side of the equation. 12 + -12 + 5x = -27 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = -27 + -12 5x = -27 + -12 Combine like terms: -27 + -12 = -39 5x = -39 Divide each side by '5'. x = -7.8 Simplifying x = -7.8
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