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Simplifying 8(x + -5) = -8(1 + -6x) + 8 Reorder the terms: 8(-5 + x) = -8(1 + -6x) + 8 (-5 * 8 + x * 8) = -8(1 + -6x) + 8 (-40 + 8x) = -8(1 + -6x) + 8 -40 + 8x = (1 * -8 + -6x * -8) + 8 -40 + 8x = (-8 + 48x) + 8 Reorder the terms: -40 + 8x = -8 + 8 + 48x Combine like terms: -8 + 8 = 0 -40 + 8x = 0 + 48x -40 + 8x = 48x Solving -40 + 8x = 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 + 8x + -48x = 48x + -48x Combine like terms: 8x + -48x = -40x -40 + -40x = 48x + -48x Combine like terms: 48x + -48x = 0 -40 + -40x = 0 Add '40' to each side of the equation. -40 + 40 + -40x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -40x = 0 + 40 -40x = 0 + 40 Combine like terms: 0 + 40 = 40 -40x = 40 Divide each side by '-40'. x = -1 Simplifying x = -1
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