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Simplifying 2x + -4(3x + 2) = 3 + -1(x + 5) Reorder the terms: 2x + -4(2 + 3x) = 3 + -1(x + 5) 2x + (2 * -4 + 3x * -4) = 3 + -1(x + 5) 2x + (-8 + -12x) = 3 + -1(x + 5) Reorder the terms: -8 + 2x + -12x = 3 + -1(x + 5) Combine like terms: 2x + -12x = -10x -8 + -10x = 3 + -1(x + 5) Reorder the terms: -8 + -10x = 3 + -1(5 + x) -8 + -10x = 3 + (5 * -1 + x * -1) -8 + -10x = 3 + (-5 + -1x) Combine like terms: 3 + -5 = -2 -8 + -10x = -2 + -1x Solving -8 + -10x = -2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -8 + -10x + x = -2 + -1x + x Combine like terms: -10x + x = -9x -8 + -9x = -2 + -1x + x Combine like terms: -1x + x = 0 -8 + -9x = -2 + 0 -8 + -9x = -2 Add '8' to each side of the equation. -8 + 8 + -9x = -2 + 8 Combine like terms: -8 + 8 = 0 0 + -9x = -2 + 8 -9x = -2 + 8 Combine like terms: -2 + 8 = 6 -9x = 6 Divide each side by '-9'. x = -0.6666666667 Simplifying x = -0.6666666667
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