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Simplifying -3(4 + -1x) = 5 + -1(x + 1) (4 * -3 + -1x * -3) = 5 + -1(x + 1) (-12 + 3x) = 5 + -1(x + 1) Reorder the terms: -12 + 3x = 5 + -1(1 + x) -12 + 3x = 5 + (1 * -1 + x * -1) -12 + 3x = 5 + (-1 + -1x) Combine like terms: 5 + -1 = 4 -12 + 3x = 4 + -1x Solving -12 + 3x = 4 + -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 = 4 + -1x + x Combine like terms: 3x + x = 4x -12 + 4x = 4 + -1x + x Combine like terms: -1x + x = 0 -12 + 4x = 4 + 0 -12 + 4x = 4 Add '12' to each side of the equation. -12 + 12 + 4x = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = 4 + 12 4x = 4 + 12 Combine like terms: 4 + 12 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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