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Simplifying -8(2x + -1) = -5(2x + 8) Reorder the terms: -8(-1 + 2x) = -5(2x + 8) (-1 * -8 + 2x * -8) = -5(2x + 8) (8 + -16x) = -5(2x + 8) Reorder the terms: 8 + -16x = -5(8 + 2x) 8 + -16x = (8 * -5 + 2x * -5) 8 + -16x = (-40 + -10x) Solving 8 + -16x = -40 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 8 + -16x + 10x = -40 + -10x + 10x Combine like terms: -16x + 10x = -6x 8 + -6x = -40 + -10x + 10x Combine like terms: -10x + 10x = 0 8 + -6x = -40 + 0 8 + -6x = -40 Add '-8' to each side of the equation. 8 + -8 + -6x = -40 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = -40 + -8 -6x = -40 + -8 Combine like terms: -40 + -8 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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