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Simplifying 2(x + -5) * 4 = -4(-7x + 6) + -8x Reorder the terms: 2(-5 + x) * 4 = -4(-7x + 6) + -8x Reorder the terms for easier multiplication: 2 * 4(-5 + x) = -4(-7x + 6) + -8x Multiply 2 * 4 8(-5 + x) = -4(-7x + 6) + -8x (-5 * 8 + x * 8) = -4(-7x + 6) + -8x (-40 + 8x) = -4(-7x + 6) + -8x Reorder the terms: -40 + 8x = -4(6 + -7x) + -8x -40 + 8x = (6 * -4 + -7x * -4) + -8x -40 + 8x = (-24 + 28x) + -8x Combine like terms: 28x + -8x = 20x -40 + 8x = -24 + 20x Solving -40 + 8x = -24 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -40 + 8x + -20x = -24 + 20x + -20x Combine like terms: 8x + -20x = -12x -40 + -12x = -24 + 20x + -20x Combine like terms: 20x + -20x = 0 -40 + -12x = -24 + 0 -40 + -12x = -24 Add '40' to each side of the equation. -40 + 40 + -12x = -24 + 40 Combine like terms: -40 + 40 = 0 0 + -12x = -24 + 40 -12x = -24 + 40 Combine like terms: -24 + 40 = 16 -12x = 16 Divide each side by '-12'. x = -1.333333333 Simplifying x = -1.333333333
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