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Simplifying 3(x + -4) = x + 3 + -1(x + -2) Reorder the terms: 3(-4 + x) = x + 3 + -1(x + -2) (-4 * 3 + x * 3) = x + 3 + -1(x + -2) (-12 + 3x) = x + 3 + -1(x + -2) Reorder the terms: -12 + 3x = x + 3 + -1(-2 + x) -12 + 3x = x + 3 + (-2 * -1 + x * -1) -12 + 3x = x + 3 + (2 + -1x) Reorder the terms: -12 + 3x = 3 + 2 + x + -1x Combine like terms: 3 + 2 = 5 -12 + 3x = 5 + x + -1x Combine like terms: x + -1x = 0 -12 + 3x = 5 + 0 -12 + 3x = 5 Solving -12 + 3x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 3x = 5 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = 5 + 12 3x = 5 + 12 Combine like terms: 5 + 12 = 17 3x = 17 Divide each side by '3'. x = 5.666666667 Simplifying x = 5.666666667
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