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Simplifying 3(x + -4) + -4(3 + -1x) = x + 3 + -1(x + -6) Reorder the terms: 3(-4 + x) + -4(3 + -1x) = x + 3 + -1(x + -6) (-4 * 3 + x * 3) + -4(3 + -1x) = x + 3 + -1(x + -6) (-12 + 3x) + -4(3 + -1x) = x + 3 + -1(x + -6) -12 + 3x + (3 * -4 + -1x * -4) = x + 3 + -1(x + -6) -12 + 3x + (-12 + 4x) = x + 3 + -1(x + -6) Reorder the terms: -12 + -12 + 3x + 4x = x + 3 + -1(x + -6) Combine like terms: -12 + -12 = -24 -24 + 3x + 4x = x + 3 + -1(x + -6) Combine like terms: 3x + 4x = 7x -24 + 7x = x + 3 + -1(x + -6) Reorder the terms: -24 + 7x = x + 3 + -1(-6 + x) -24 + 7x = x + 3 + (-6 * -1 + x * -1) -24 + 7x = x + 3 + (6 + -1x) Reorder the terms: -24 + 7x = 3 + 6 + x + -1x Combine like terms: 3 + 6 = 9 -24 + 7x = 9 + x + -1x Combine like terms: x + -1x = 0 -24 + 7x = 9 + 0 -24 + 7x = 9 Solving -24 + 7x = 9 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 = 9 + 24 Combine like terms: -24 + 24 = 0 0 + 7x = 9 + 24 7x = 9 + 24 Combine like terms: 9 + 24 = 33 7x = 33 Divide each side by '7'. x = 4.714285714 Simplifying x = 4.714285714
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