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Simplifying 6(3x + 4) + -8(2x + -5) + 6x = 80 Reorder the terms: 6(4 + 3x) + -8(2x + -5) + 6x = 80 (4 * 6 + 3x * 6) + -8(2x + -5) + 6x = 80 (24 + 18x) + -8(2x + -5) + 6x = 80 Reorder the terms: 24 + 18x + -8(-5 + 2x) + 6x = 80 24 + 18x + (-5 * -8 + 2x * -8) + 6x = 80 24 + 18x + (40 + -16x) + 6x = 80 Reorder the terms: 24 + 40 + 18x + -16x + 6x = 80 Combine like terms: 24 + 40 = 64 64 + 18x + -16x + 6x = 80 Combine like terms: 18x + -16x = 2x 64 + 2x + 6x = 80 Combine like terms: 2x + 6x = 8x 64 + 8x = 80 Solving 64 + 8x = 80 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + 8x = 80 + -64 Combine like terms: 64 + -64 = 0 0 + 8x = 80 + -64 8x = 80 + -64 Combine like terms: 80 + -64 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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