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Simplifying -6x + 2x = 4(-5x + -2) + -8(x + 5) Combine like terms: -6x + 2x = -4x -4x = 4(-5x + -2) + -8(x + 5) Reorder the terms: -4x = 4(-2 + -5x) + -8(x + 5) -4x = (-2 * 4 + -5x * 4) + -8(x + 5) -4x = (-8 + -20x) + -8(x + 5) Reorder the terms: -4x = -8 + -20x + -8(5 + x) -4x = -8 + -20x + (5 * -8 + x * -8) -4x = -8 + -20x + (-40 + -8x) Reorder the terms: -4x = -8 + -40 + -20x + -8x Combine like terms: -8 + -40 = -48 -4x = -48 + -20x + -8x Combine like terms: -20x + -8x = -28x -4x = -48 + -28x Solving -4x = -48 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. -4x + 28x = -48 + -28x + 28x Combine like terms: -4x + 28x = 24x 24x = -48 + -28x + 28x Combine like terms: -28x + 28x = 0 24x = -48 + 0 24x = -48 Divide each side by '24'. x = -2 Simplifying x = -2
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