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Simplifying -8(x + -4) = -6x + -8(x + 5) Reorder the terms: -8(-4 + x) = -6x + -8(x + 5) (-4 * -8 + x * -8) = -6x + -8(x + 5) (32 + -8x) = -6x + -8(x + 5) Reorder the terms: 32 + -8x = -6x + -8(5 + x) 32 + -8x = -6x + (5 * -8 + x * -8) 32 + -8x = -6x + (-40 + -8x) Reorder the terms: 32 + -8x = -40 + -6x + -8x Combine like terms: -6x + -8x = -14x 32 + -8x = -40 + -14x Solving 32 + -8x = -40 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 32 + -8x + 14x = -40 + -14x + 14x Combine like terms: -8x + 14x = 6x 32 + 6x = -40 + -14x + 14x Combine like terms: -14x + 14x = 0 32 + 6x = -40 + 0 32 + 6x = -40 Add '-32' to each side of the equation. 32 + -32 + 6x = -40 + -32 Combine like terms: 32 + -32 = 0 0 + 6x = -40 + -32 6x = -40 + -32 Combine like terms: -40 + -32 = -72 6x = -72 Divide each side by '6'. x = -12 Simplifying x = -12
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