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Simplifying -8(5x + -6) + -7x = 2 + -1x Reorder the terms: -8(-6 + 5x) + -7x = 2 + -1x (-6 * -8 + 5x * -8) + -7x = 2 + -1x (48 + -40x) + -7x = 2 + -1x Combine like terms: -40x + -7x = -47x 48 + -47x = 2 + -1x Solving 48 + -47x = 2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 48 + -47x + x = 2 + -1x + x Combine like terms: -47x + x = -46x 48 + -46x = 2 + -1x + x Combine like terms: -1x + x = 0 48 + -46x = 2 + 0 48 + -46x = 2 Add '-48' to each side of the equation. 48 + -48 + -46x = 2 + -48 Combine like terms: 48 + -48 = 0 0 + -46x = 2 + -48 -46x = 2 + -48 Combine like terms: 2 + -48 = -46 -46x = -46 Divide each side by '-46'. x = 1 Simplifying x = 1
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