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Simplifying -4(10 + -4x) + -3x = -5(x + 2) + 8x (10 * -4 + -4x * -4) + -3x = -5(x + 2) + 8x (-40 + 16x) + -3x = -5(x + 2) + 8x Combine like terms: 16x + -3x = 13x -40 + 13x = -5(x + 2) + 8x Reorder the terms: -40 + 13x = -5(2 + x) + 8x -40 + 13x = (2 * -5 + x * -5) + 8x -40 + 13x = (-10 + -5x) + 8x Combine like terms: -5x + 8x = 3x -40 + 13x = -10 + 3x Solving -40 + 13x = -10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -40 + 13x + -3x = -10 + 3x + -3x Combine like terms: 13x + -3x = 10x -40 + 10x = -10 + 3x + -3x Combine like terms: 3x + -3x = 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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