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