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Simplifying -8(-4x + 5) + x = 2x + -40 Reorder the terms: -8(5 + -4x) + x = 2x + -40 (5 * -8 + -4x * -8) + x = 2x + -40 (-40 + 32x) + x = 2x + -40 Combine like terms: 32x + x = 33x -40 + 33x = 2x + -40 Reorder the terms: -40 + 33x = -40 + 2x Add '40' to each side of the equation. -40 + 40 + 33x = -40 + 40 + 2x Combine like terms: -40 + 40 = 0 0 + 33x = -40 + 40 + 2x 33x = -40 + 40 + 2x Combine like terms: -40 + 40 = 0 33x = 0 + 2x 33x = 2x Solving 33x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 33x + -2x = 2x + -2x Combine like terms: 33x + -2x = 31x 31x = 2x + -2x Combine like terms: 2x + -2x = 0 31x = 0 Divide each side by '31'. x = 0 Simplifying x = 0
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