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Simplifying 2x + -40 = -8(4x + 5) Reorder the terms: -40 + 2x = -8(4x + 5) Reorder the terms: -40 + 2x = -8(5 + 4x) -40 + 2x = (5 * -8 + 4x * -8) -40 + 2x = (-40 + -32x) Add '40' to each side of the equation. -40 + 40 + 2x = -40 + 40 + -32x Combine like terms: -40 + 40 = 0 0 + 2x = -40 + 40 + -32x 2x = -40 + 40 + -32x Combine like terms: -40 + 40 = 0 2x = 0 + -32x 2x = -32x Solving 2x = -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. 2x + 32x = -32x + 32x Combine like terms: 2x + 32x = 34x 34x = -32x + 32x Combine like terms: -32x + 32x = 0 34x = 0 Divide each side by '34'. x = 0 Simplifying x = 0
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