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Simplifying -5(2x + 8) + -4x = 8(3 + -1x) + -4 Reorder the terms: -5(8 + 2x) + -4x = 8(3 + -1x) + -4 (8 * -5 + 2x * -5) + -4x = 8(3 + -1x) + -4 (-40 + -10x) + -4x = 8(3 + -1x) + -4 Combine like terms: -10x + -4x = -14x -40 + -14x = 8(3 + -1x) + -4 -40 + -14x = (3 * 8 + -1x * 8) + -4 -40 + -14x = (24 + -8x) + -4 Reorder the terms: -40 + -14x = 24 + -4 + -8x Combine like terms: 24 + -4 = 20 -40 + -14x = 20 + -8x Solving -40 + -14x = 20 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -40 + -14x + 8x = 20 + -8x + 8x Combine like terms: -14x + 8x = -6x -40 + -6x = 20 + -8x + 8x Combine like terms: -8x + 8x = 0 -40 + -6x = 20 + 0 -40 + -6x = 20 Add '40' to each side of the equation. -40 + 40 + -6x = 20 + 40 Combine like terms: -40 + 40 = 0 0 + -6x = 20 + 40 -6x = 20 + 40 Combine like terms: 20 + 40 = 60 -6x = 60 Divide each side by '-6'. x = -10 Simplifying x = -10
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