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Simplifying 4 + -4(x + -1) + -1(3x + 4) = 2(x + -6) Reorder the terms: 4 + -4(-1 + x) + -1(3x + 4) = 2(x + -6) 4 + (-1 * -4 + x * -4) + -1(3x + 4) = 2(x + -6) 4 + (4 + -4x) + -1(3x + 4) = 2(x + -6) Reorder the terms: 4 + 4 + -4x + -1(4 + 3x) = 2(x + -6) 4 + 4 + -4x + (4 * -1 + 3x * -1) = 2(x + -6) 4 + 4 + -4x + (-4 + -3x) = 2(x + -6) Reorder the terms: 4 + 4 + -4 + -4x + -3x = 2(x + -6) Combine like terms: 4 + 4 = 8 8 + -4 + -4x + -3x = 2(x + -6) Combine like terms: 8 + -4 = 4 4 + -4x + -3x = 2(x + -6) Combine like terms: -4x + -3x = -7x 4 + -7x = 2(x + -6) Reorder the terms: 4 + -7x = 2(-6 + x) 4 + -7x = (-6 * 2 + x * 2) 4 + -7x = (-12 + 2x) Solving 4 + -7x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4 + -7x + -2x = -12 + 2x + -2x Combine like terms: -7x + -2x = -9x 4 + -9x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + -9x = -12 + 0 4 + -9x = -12 Add '-4' to each side of the equation. 4 + -4 + -9x = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -9x = -12 + -4 -9x = -12 + -4 Combine like terms: -12 + -4 = -16 -9x = -16 Divide each side by '-9'. x = 1.777777778 Simplifying x = 1.777777778
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