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Simplifying 6(2x + 3) + -2(x + -1) = 6x + 128 + x Reorder the terms: 6(3 + 2x) + -2(x + -1) = 6x + 128 + x (3 * 6 + 2x * 6) + -2(x + -1) = 6x + 128 + x (18 + 12x) + -2(x + -1) = 6x + 128 + x Reorder the terms: 18 + 12x + -2(-1 + x) = 6x + 128 + x 18 + 12x + (-1 * -2 + x * -2) = 6x + 128 + x 18 + 12x + (2 + -2x) = 6x + 128 + x Reorder the terms: 18 + 2 + 12x + -2x = 6x + 128 + x Combine like terms: 18 + 2 = 20 20 + 12x + -2x = 6x + 128 + x Combine like terms: 12x + -2x = 10x 20 + 10x = 6x + 128 + x Reorder the terms: 20 + 10x = 128 + 6x + x Combine like terms: 6x + x = 7x 20 + 10x = 128 + 7x Solving 20 + 10x = 128 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 20 + 10x + -7x = 128 + 7x + -7x Combine like terms: 10x + -7x = 3x 20 + 3x = 128 + 7x + -7x Combine like terms: 7x + -7x = 0 20 + 3x = 128 + 0 20 + 3x = 128 Add '-20' to each side of the equation. 20 + -20 + 3x = 128 + -20 Combine like terms: 20 + -20 = 0 0 + 3x = 128 + -20 3x = 128 + -20 Combine like terms: 128 + -20 = 108 3x = 108 Divide each side by '3'. x = 36 Simplifying x = 36
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