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Simplifying 3x + -1(5x + 1) = 8x + 2(x + -4) Reorder the terms: 3x + -1(1 + 5x) = 8x + 2(x + -4) 3x + (1 * -1 + 5x * -1) = 8x + 2(x + -4) 3x + (-1 + -5x) = 8x + 2(x + -4) Reorder the terms: -1 + 3x + -5x = 8x + 2(x + -4) Combine like terms: 3x + -5x = -2x -1 + -2x = 8x + 2(x + -4) Reorder the terms: -1 + -2x = 8x + 2(-4 + x) -1 + -2x = 8x + (-4 * 2 + x * 2) -1 + -2x = 8x + (-8 + 2x) Reorder the terms: -1 + -2x = -8 + 8x + 2x Combine like terms: 8x + 2x = 10x -1 + -2x = -8 + 10x Solving -1 + -2x = -8 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -1 + -2x + -10x = -8 + 10x + -10x Combine like terms: -2x + -10x = -12x -1 + -12x = -8 + 10x + -10x Combine like terms: 10x + -10x = 0 -1 + -12x = -8 + 0 -1 + -12x = -8 Add '1' to each side of the equation. -1 + 1 + -12x = -8 + 1 Combine like terms: -1 + 1 = 0 0 + -12x = -8 + 1 -12x = -8 + 1 Combine like terms: -8 + 1 = -7 -12x = -7 Divide each side by '-12'. x = 0.5833333333 Simplifying x = 0.5833333333
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