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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 = 9 -12 + 5x = 9 + 8x Solving -12 + 5x = 9 + 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 = 9 + 8x + -8x Combine like terms: 5x + -8x = -3x -12 + -3x = 9 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + -3x = 9 + 0 -12 + -3x = 9 Add '12' to each side of the equation. -12 + 12 + -3x = 9 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = 9 + 12 -3x = 9 + 12 Combine like terms: 9 + 12 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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