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