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Simplifying 3(x + -4) = 5 + -1(x + 2) Reorder the terms: 3(-4 + x) = 5 + -1(x + 2) (-4 * 3 + x * 3) = 5 + -1(x + 2) (-12 + 3x) = 5 + -1(x + 2) Reorder the terms: -12 + 3x = 5 + -1(2 + x) -12 + 3x = 5 + (2 * -1 + x * -1) -12 + 3x = 5 + (-2 + -1x) Combine like terms: 5 + -2 = 3 -12 + 3x = 3 + -1x Solving -12 + 3x = 3 + -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. -12 + 3x + x = 3 + -1x + x Combine like terms: 3x + x = 4x -12 + 4x = 3 + -1x + x Combine like terms: -1x + x = 0 -12 + 4x = 3 + 0 -12 + 4x = 3 Add '12' to each side of the equation. -12 + 12 + 4x = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = 3 + 12 4x = 3 + 12 Combine like terms: 3 + 12 = 15 4x = 15 Divide each side by '4'. x = 3.75 Simplifying x = 3.75
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