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Simplifying -8(-4x + 5) + 8x = -6(1 + -5x) + -4 Reorder the terms: -8(5 + -4x) + 8x = -6(1 + -5x) + -4 (5 * -8 + -4x * -8) + 8x = -6(1 + -5x) + -4 (-40 + 32x) + 8x = -6(1 + -5x) + -4 Combine like terms: 32x + 8x = 40x -40 + 40x = -6(1 + -5x) + -4 -40 + 40x = (1 * -6 + -5x * -6) + -4 -40 + 40x = (-6 + 30x) + -4 Reorder the terms: -40 + 40x = -6 + -4 + 30x Combine like terms: -6 + -4 = -10 -40 + 40x = -10 + 30x Solving -40 + 40x = -10 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -40 + 40x + -30x = -10 + 30x + -30x Combine like terms: 40x + -30x = 10x -40 + 10x = -10 + 30x + -30x Combine like terms: 30x + -30x = 0 -40 + 10x = -10 + 0 -40 + 10x = -10 Add '40' to each side of the equation. -40 + 40 + 10x = -10 + 40 Combine like terms: -40 + 40 = 0 0 + 10x = -10 + 40 10x = -10 + 40 Combine like terms: -10 + 40 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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