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Simplifying 2x + -3(4 + -1x) = 5 + -4(2x + 1) 2x + (4 * -3 + -1x * -3) = 5 + -4(2x + 1) 2x + (-12 + 3x) = 5 + -4(2x + 1) Reorder the terms: -12 + 2x + 3x = 5 + -4(2x + 1) Combine like terms: 2x + 3x = 5x -12 + 5x = 5 + -4(2x + 1) Reorder the terms: -12 + 5x = 5 + -4(1 + 2x) -12 + 5x = 5 + (1 * -4 + 2x * -4) -12 + 5x = 5 + (-4 + -8x) Combine like terms: 5 + -4 = 1 -12 + 5x = 1 + -8x Solving -12 + 5x = 1 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -12 + 5x + 8x = 1 + -8x + 8x Combine like terms: 5x + 8x = 13x -12 + 13x = 1 + -8x + 8x Combine like terms: -8x + 8x = 0 -12 + 13x = 1 + 0 -12 + 13x = 1 Add '12' to each side of the equation. -12 + 12 + 13x = 1 + 12 Combine like terms: -12 + 12 = 0 0 + 13x = 1 + 12 13x = 1 + 12 Combine like terms: 1 + 12 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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