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Simplifying 8(-6x + 7) = 8x Reorder the terms: 8(7 + -6x) = 8x (7 * 8 + -6x * 8) = 8x (56 + -48x) = 8x Solving 56 + -48x = 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. 56 + -48x + -8x = 8x + -8x Combine like terms: -48x + -8x = -56x 56 + -56x = 8x + -8x Combine like terms: 8x + -8x = 0 56 + -56x = 0 Add '-56' to each side of the equation. 56 + -56 + -56x = 0 + -56 Combine like terms: 56 + -56 = 0 0 + -56x = 0 + -56 -56x = 0 + -56 Combine like terms: 0 + -56 = -56 -56x = -56 Divide each side by '-56'. x = 1 Simplifying x = 1
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