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Simplifying x + -3(4 + -1x) = 7x + -1(1 + -1x) x + (4 * -3 + -1x * -3) = 7x + -1(1 + -1x) x + (-12 + 3x) = 7x + -1(1 + -1x) Reorder the terms: -12 + x + 3x = 7x + -1(1 + -1x) Combine like terms: x + 3x = 4x -12 + 4x = 7x + -1(1 + -1x) -12 + 4x = 7x + (1 * -1 + -1x * -1) -12 + 4x = 7x + (-1 + 1x) Reorder the terms: -12 + 4x = -1 + 7x + 1x Combine like terms: 7x + 1x = 8x -12 + 4x = -1 + 8x Solving -12 + 4x = -1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -12 + 4x + -8x = -1 + 8x + -8x Combine like terms: 4x + -8x = -4x -12 + -4x = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + -4x = -1 + 0 -12 + -4x = -1 Add '12' to each side of the equation. -12 + 12 + -4x = -1 + 12 Combine like terms: -12 + 12 = 0 0 + -4x = -1 + 12 -4x = -1 + 12 Combine like terms: -1 + 12 = 11 -4x = 11 Divide each side by '-4'. x = -2.75 Simplifying x = -2.75
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