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Simplifying 2x + -6(x + 2) = 4 + -1(x + 2) Reorder the terms: 2x + -6(2 + x) = 4 + -1(x + 2) 2x + (2 * -6 + x * -6) = 4 + -1(x + 2) 2x + (-12 + -6x) = 4 + -1(x + 2) Reorder the terms: -12 + 2x + -6x = 4 + -1(x + 2) Combine like terms: 2x + -6x = -4x -12 + -4x = 4 + -1(x + 2) Reorder the terms: -12 + -4x = 4 + -1(2 + x) -12 + -4x = 4 + (2 * -1 + x * -1) -12 + -4x = 4 + (-2 + -1x) Combine like terms: 4 + -2 = 2 -12 + -4x = 2 + -1x Solving -12 + -4x = 2 + -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 + -4x + x = 2 + -1x + x Combine like terms: -4x + x = -3x -12 + -3x = 2 + -1x + x Combine like terms: -1x + x = 0 -12 + -3x = 2 + 0 -12 + -3x = 2 Add '12' to each side of the equation. -12 + 12 + -3x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = 2 + 12 -3x = 2 + 12 Combine like terms: 2 + 12 = 14 -3x = 14 Divide each side by '-3'. x = -4.666666667 Simplifying x = -4.666666667
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