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Simplifying 3(2x + 6) + 2(7x + -4) + 10x = 8x + 2(x + 9) Reorder the terms: 3(6 + 2x) + 2(7x + -4) + 10x = 8x + 2(x + 9) (6 * 3 + 2x * 3) + 2(7x + -4) + 10x = 8x + 2(x + 9) (18 + 6x) + 2(7x + -4) + 10x = 8x + 2(x + 9) Reorder the terms: 18 + 6x + 2(-4 + 7x) + 10x = 8x + 2(x + 9) 18 + 6x + (-4 * 2 + 7x * 2) + 10x = 8x + 2(x + 9) 18 + 6x + (-8 + 14x) + 10x = 8x + 2(x + 9) Reorder the terms: 18 + -8 + 6x + 14x + 10x = 8x + 2(x + 9) Combine like terms: 18 + -8 = 10 10 + 6x + 14x + 10x = 8x + 2(x + 9) Combine like terms: 6x + 14x = 20x 10 + 20x + 10x = 8x + 2(x + 9) Combine like terms: 20x + 10x = 30x 10 + 30x = 8x + 2(x + 9) Reorder the terms: 10 + 30x = 8x + 2(9 + x) 10 + 30x = 8x + (9 * 2 + x * 2) 10 + 30x = 8x + (18 + 2x) Reorder the terms: 10 + 30x = 18 + 8x + 2x Combine like terms: 8x + 2x = 10x 10 + 30x = 18 + 10x Solving 10 + 30x = 18 + 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. 10 + 30x + -10x = 18 + 10x + -10x Combine like terms: 30x + -10x = 20x 10 + 20x = 18 + 10x + -10x Combine like terms: 10x + -10x = 0 10 + 20x = 18 + 0 10 + 20x = 18 Add '-10' to each side of the equation. 10 + -10 + 20x = 18 + -10 Combine like terms: 10 + -10 = 0 0 + 20x = 18 + -10 20x = 18 + -10 Combine like terms: 18 + -10 = 8 20x = 8 Divide each side by '20'. x = 0.4 Simplifying x = 0.4
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