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Simplifying 6(8x + -8) = 7(8x + -8) Reorder the terms: 6(-8 + 8x) = 7(8x + -8) (-8 * 6 + 8x * 6) = 7(8x + -8) (-48 + 48x) = 7(8x + -8) Reorder the terms: -48 + 48x = 7(-8 + 8x) -48 + 48x = (-8 * 7 + 8x * 7) -48 + 48x = (-56 + 56x) Solving -48 + 48x = -56 + 56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56x' to each side of the equation. -48 + 48x + -56x = -56 + 56x + -56x Combine like terms: 48x + -56x = -8x -48 + -8x = -56 + 56x + -56x Combine like terms: 56x + -56x = 0 -48 + -8x = -56 + 0 -48 + -8x = -56 Add '48' to each side of the equation. -48 + 48 + -8x = -56 + 48 Combine like terms: -48 + 48 = 0 0 + -8x = -56 + 48 -8x = -56 + 48 Combine like terms: -56 + 48 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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