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Simplifying 8(x + -5) = -8(-5 + -3x) Reorder the terms: 8(-5 + x) = -8(-5 + -3x) (-5 * 8 + x * 8) = -8(-5 + -3x) (-40 + 8x) = -8(-5 + -3x) -40 + 8x = (-5 * -8 + -3x * -8) -40 + 8x = (40 + 24x) Solving -40 + 8x = 40 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -40 + 8x + -24x = 40 + 24x + -24x Combine like terms: 8x + -24x = -16x -40 + -16x = 40 + 24x + -24x Combine like terms: 24x + -24x = 0 -40 + -16x = 40 + 0 -40 + -16x = 40 Add '40' to each side of the equation. -40 + 40 + -16x = 40 + 40 Combine like terms: -40 + 40 = 0 0 + -16x = 40 + 40 -16x = 40 + 40 Combine like terms: 40 + 40 = 80 -16x = 80 Divide each side by '-16'. x = -5 Simplifying x = -5
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