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Simplifying 8x + -3x = -2(x + -6) + -6(8x + 2) Combine like terms: 8x + -3x = 5x 5x = -2(x + -6) + -6(8x + 2) Reorder the terms: 5x = -2(-6 + x) + -6(8x + 2) 5x = (-6 * -2 + x * -2) + -6(8x + 2) 5x = (12 + -2x) + -6(8x + 2) Reorder the terms: 5x = 12 + -2x + -6(2 + 8x) 5x = 12 + -2x + (2 * -6 + 8x * -6) 5x = 12 + -2x + (-12 + -48x) Reorder the terms: 5x = 12 + -12 + -2x + -48x Combine like terms: 12 + -12 = 0 5x = 0 + -2x + -48x 5x = -2x + -48x Combine like terms: -2x + -48x = -50x 5x = -50x Solving 5x = -50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50x' to each side of the equation. 5x + 50x = -50x + 50x Combine like terms: 5x + 50x = 55x 55x = -50x + 50x Combine like terms: -50x + 50x = 0 55x = 0 Divide each side by '55'. x = 0 Simplifying x = 0
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