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Simplifying 6x + -7x = 2(1 + x) + -5(-8 + 2x) Combine like terms: 6x + -7x = -1x -1x = 2(1 + x) + -5(-8 + 2x) -1x = (1 * 2 + x * 2) + -5(-8 + 2x) -1x = (2 + 2x) + -5(-8 + 2x) -1x = 2 + 2x + (-8 * -5 + 2x * -5) -1x = 2 + 2x + (40 + -10x) Reorder the terms: -1x = 2 + 40 + 2x + -10x Combine like terms: 2 + 40 = 42 -1x = 42 + 2x + -10x Combine like terms: 2x + -10x = -8x -1x = 42 + -8x Solving -1x = 42 + -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. -1x + 8x = 42 + -8x + 8x Combine like terms: -1x + 8x = 7x 7x = 42 + -8x + 8x Combine like terms: -8x + 8x = 0 7x = 42 + 0 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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