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Simplifying 1 + -6x + -1 = 6(1 + -8x) + -10(3 + -5x) Reorder the terms: 1 + -1 + -6x = 6(1 + -8x) + -10(3 + -5x) Combine like terms: 1 + -1 = 0 0 + -6x = 6(1 + -8x) + -10(3 + -5x) -6x = 6(1 + -8x) + -10(3 + -5x) -6x = (1 * 6 + -8x * 6) + -10(3 + -5x) -6x = (6 + -48x) + -10(3 + -5x) -6x = 6 + -48x + (3 * -10 + -5x * -10) -6x = 6 + -48x + (-30 + 50x) Reorder the terms: -6x = 6 + -30 + -48x + 50x Combine like terms: 6 + -30 = -24 -6x = -24 + -48x + 50x Combine like terms: -48x + 50x = 2x -6x = -24 + 2x Solving -6x = -24 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6x + -2x = -24 + 2x + -2x Combine like terms: -6x + -2x = -8x -8x = -24 + 2x + -2x Combine like terms: 2x + -2x = 0 -8x = -24 + 0 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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