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Simplifying 2(6x + 8) + 3(2x + -4) = 6(5x + -3) Reorder the terms: 2(8 + 6x) + 3(2x + -4) = 6(5x + -3) (8 * 2 + 6x * 2) + 3(2x + -4) = 6(5x + -3) (16 + 12x) + 3(2x + -4) = 6(5x + -3) Reorder the terms: 16 + 12x + 3(-4 + 2x) = 6(5x + -3) 16 + 12x + (-4 * 3 + 2x * 3) = 6(5x + -3) 16 + 12x + (-12 + 6x) = 6(5x + -3) Reorder the terms: 16 + -12 + 12x + 6x = 6(5x + -3) Combine like terms: 16 + -12 = 4 4 + 12x + 6x = 6(5x + -3) Combine like terms: 12x + 6x = 18x 4 + 18x = 6(5x + -3) Reorder the terms: 4 + 18x = 6(-3 + 5x) 4 + 18x = (-3 * 6 + 5x * 6) 4 + 18x = (-18 + 30x) Solving 4 + 18x = -18 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 4 + 18x + -30x = -18 + 30x + -30x Combine like terms: 18x + -30x = -12x 4 + -12x = -18 + 30x + -30x Combine like terms: 30x + -30x = 0 4 + -12x = -18 + 0 4 + -12x = -18 Add '-4' to each side of the equation. 4 + -4 + -12x = -18 + -4 Combine like terms: 4 + -4 = 0 0 + -12x = -18 + -4 -12x = -18 + -4 Combine like terms: -18 + -4 = -22 -12x = -22 Divide each side by '-12'. x = 1.833333333 Simplifying x = 1.833333333
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