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Simplifying 2x + -3(4 + -1x) = 8 + 4(x + -1) 2x + (4 * -3 + -1x * -3) = 8 + 4(x + -1) 2x + (-12 + 3x) = 8 + 4(x + -1) Reorder the terms: -12 + 2x + 3x = 8 + 4(x + -1) Combine like terms: 2x + 3x = 5x -12 + 5x = 8 + 4(x + -1) Reorder the terms: -12 + 5x = 8 + 4(-1 + x) -12 + 5x = 8 + (-1 * 4 + x * 4) -12 + 5x = 8 + (-4 + 4x) Combine like terms: 8 + -4 = 4 -12 + 5x = 4 + 4x Solving -12 + 5x = 4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + 5x + -4x = 4 + 4x + -4x Combine like terms: 5x + -4x = 1x -12 + 1x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 1x = 4 + 0 -12 + 1x = 4 Add '12' to each side of the equation. -12 + 12 + 1x = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 4 + 12 1x = 4 + 12 Combine like terms: 4 + 12 = 16 1x = 16 Divide each side by '1'. x = 16 Simplifying x = 16
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