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Simplifying 8(1 + -4x) = -5(8 + 8x) (1 * 8 + -4x * 8) = -5(8 + 8x) (8 + -32x) = -5(8 + 8x) 8 + -32x = (8 * -5 + 8x * -5) 8 + -32x = (-40 + -40x) Solving 8 + -32x = -40 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. 8 + -32x + 40x = -40 + -40x + 40x Combine like terms: -32x + 40x = 8x 8 + 8x = -40 + -40x + 40x Combine like terms: -40x + 40x = 0 8 + 8x = -40 + 0 8 + 8x = -40 Add '-8' to each side of the equation. 8 + -8 + 8x = -40 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = -40 + -8 8x = -40 + -8 Combine like terms: -40 + -8 = -48 8x = -48 Divide each side by '8'. x = -6 Simplifying x = -6
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