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Simplifying x + 2(x + -6) = -4(x + -1) Reorder the terms: x + 2(-6 + x) = -4(x + -1) x + (-6 * 2 + x * 2) = -4(x + -1) x + (-12 + 2x) = -4(x + -1) Reorder the terms: -12 + x + 2x = -4(x + -1) Combine like terms: x + 2x = 3x -12 + 3x = -4(x + -1) Reorder the terms: -12 + 3x = -4(-1 + x) -12 + 3x = (-1 * -4 + x * -4) -12 + 3x = (4 + -4x) Solving -12 + 3x = 4 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -12 + 3x + 4x = 4 + -4x + 4x Combine like terms: 3x + 4x = 7x -12 + 7x = 4 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 7x = 4 + 0 -12 + 7x = 4 Add '12' to each side of the equation. -12 + 12 + 7x = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = 4 + 12 7x = 4 + 12 Combine like terms: 4 + 12 = 16 7x = 16 Divide each side by '7'. x = 2.285714286 Simplifying x = 2.285714286
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