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Simplifying -8(6x + 9) = -8(2x + 5) Reorder the terms: -8(9 + 6x) = -8(2x + 5) (9 * -8 + 6x * -8) = -8(2x + 5) (-72 + -48x) = -8(2x + 5) Reorder the terms: -72 + -48x = -8(5 + 2x) -72 + -48x = (5 * -8 + 2x * -8) -72 + -48x = (-40 + -16x) Solving -72 + -48x = -40 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -72 + -48x + 16x = -40 + -16x + 16x Combine like terms: -48x + 16x = -32x -72 + -32x = -40 + -16x + 16x Combine like terms: -16x + 16x = 0 -72 + -32x = -40 + 0 -72 + -32x = -40 Add '72' to each side of the equation. -72 + 72 + -32x = -40 + 72 Combine like terms: -72 + 72 = 0 0 + -32x = -40 + 72 -32x = -40 + 72 Combine like terms: -40 + 72 = 32 -32x = 32 Divide each side by '-32'. x = -1 Simplifying x = -1
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