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Simplifying 3(x + -4) + -4(3 + -1x) = x + 3 + -1(x + -5) Reorder the terms: 3(-4 + x) + -4(3 + -1x) = x + 3 + -1(x + -5) (-4 * 3 + x * 3) + -4(3 + -1x) = x + 3 + -1(x + -5) (-12 + 3x) + -4(3 + -1x) = x + 3 + -1(x + -5) -12 + 3x + (3 * -4 + -1x * -4) = x + 3 + -1(x + -5) -12 + 3x + (-12 + 4x) = x + 3 + -1(x + -5) Reorder the terms: -12 + -12 + 3x + 4x = x + 3 + -1(x + -5) Combine like terms: -12 + -12 = -24 -24 + 3x + 4x = x + 3 + -1(x + -5) Combine like terms: 3x + 4x = 7x -24 + 7x = x + 3 + -1(x + -5) Reorder the terms: -24 + 7x = x + 3 + -1(-5 + x) -24 + 7x = x + 3 + (-5 * -1 + x * -1) -24 + 7x = x + 3 + (5 + -1x) Reorder the terms: -24 + 7x = 3 + 5 + x + -1x Combine like terms: 3 + 5 = 8 -24 + 7x = 8 + x + -1x Combine like terms: x + -1x = 0 -24 + 7x = 8 + 0 -24 + 7x = 8 Solving -24 + 7x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 7x = 8 + 24 Combine like terms: -24 + 24 = 0 0 + 7x = 8 + 24 7x = 8 + 24 Combine like terms: 8 + 24 = 32 7x = 32 Divide each side by '7'. x = 4.571428571 Simplifying x = 4.571428571
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