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Simplifying 2(3x + 2) + -1(x + -8) = 3(4x + 2) + -9x + 10 Reorder the terms: 2(2 + 3x) + -1(x + -8) = 3(4x + 2) + -9x + 10 (2 * 2 + 3x * 2) + -1(x + -8) = 3(4x + 2) + -9x + 10 (4 + 6x) + -1(x + -8) = 3(4x + 2) + -9x + 10 Reorder the terms: 4 + 6x + -1(-8 + x) = 3(4x + 2) + -9x + 10 4 + 6x + (-8 * -1 + x * -1) = 3(4x + 2) + -9x + 10 4 + 6x + (8 + -1x) = 3(4x + 2) + -9x + 10 Reorder the terms: 4 + 8 + 6x + -1x = 3(4x + 2) + -9x + 10 Combine like terms: 4 + 8 = 12 12 + 6x + -1x = 3(4x + 2) + -9x + 10 Combine like terms: 6x + -1x = 5x 12 + 5x = 3(4x + 2) + -9x + 10 Reorder the terms: 12 + 5x = 3(2 + 4x) + -9x + 10 12 + 5x = (2 * 3 + 4x * 3) + -9x + 10 12 + 5x = (6 + 12x) + -9x + 10 Reorder the terms: 12 + 5x = 6 + 10 + 12x + -9x Combine like terms: 6 + 10 = 16 12 + 5x = 16 + 12x + -9x Combine like terms: 12x + -9x = 3x 12 + 5x = 16 + 3x Solving 12 + 5x = 16 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + 5x + -3x = 16 + 3x + -3x Combine like terms: 5x + -3x = 2x 12 + 2x = 16 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 2x = 16 + 0 12 + 2x = 16 Add '-12' to each side of the equation. 12 + -12 + 2x = 16 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 16 + -12 2x = 16 + -12 Combine like terms: 16 + -12 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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