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Simplifying 3x + 4x = 8(1 + -8x) + 6(12x + -5) Combine like terms: 3x + 4x = 7x 7x = 8(1 + -8x) + 6(12x + -5) 7x = (1 * 8 + -8x * 8) + 6(12x + -5) 7x = (8 + -64x) + 6(12x + -5) Reorder the terms: 7x = 8 + -64x + 6(-5 + 12x) 7x = 8 + -64x + (-5 * 6 + 12x * 6) 7x = 8 + -64x + (-30 + 72x) Reorder the terms: 7x = 8 + -30 + -64x + 72x Combine like terms: 8 + -30 = -22 7x = -22 + -64x + 72x Combine like terms: -64x + 72x = 8x 7x = -22 + 8x Solving 7x = -22 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 7x + -8x = -22 + 8x + -8x Combine like terms: 7x + -8x = -1x -1x = -22 + 8x + -8x Combine like terms: 8x + -8x = 0 -1x = -22 + 0 -1x = -22 Divide each side by '-1'. x = 22 Simplifying x = 22
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