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