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Simplifying 6x + -6x = -4(8x + -8) + 6(1 + -1x) Combine like terms: 6x + -6x = 0 0 = -4(8x + -8) + 6(1 + -1x) Reorder the terms: 0 = -4(-8 + 8x) + 6(1 + -1x) 0 = (-8 * -4 + 8x * -4) + 6(1 + -1x) 0 = (32 + -32x) + 6(1 + -1x) 0 = 32 + -32x + (1 * 6 + -1x * 6) 0 = 32 + -32x + (6 + -6x) Reorder the terms: 0 = 32 + 6 + -32x + -6x Combine like terms: 32 + 6 = 38 0 = 38 + -32x + -6x Combine like terms: -32x + -6x = -38x 0 = 38 + -38x Solving 0 = 38 + -38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38x' to each side of the equation. 0 + 38x = 38 + -38x + 38x Remove the zero: 38x = 38 + -38x + 38x Combine like terms: -38x + 38x = 0 38x = 38 + 0 38x = 38 Divide each side by '38'. x = 1 Simplifying x = 1
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