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Simplifying -6x + 2 = -3(x + 4) Reorder the terms: 2 + -6x = -3(x + 4) Reorder the terms: 2 + -6x = -3(4 + x) 2 + -6x = (4 * -3 + x * -3) 2 + -6x = (-12 + -3x) Solving 2 + -6x = -12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 2 + -6x + 3x = -12 + -3x + 3x Combine like terms: -6x + 3x = -3x 2 + -3x = -12 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + -3x = -12 + 0 2 + -3x = -12 Add '-2' to each side of the equation. 2 + -2 + -3x = -12 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = -12 + -2 -3x = -12 + -2 Combine like terms: -12 + -2 = -14 -3x = -14 Divide each side by '-3'. x = 4.666666667 Simplifying x = 4.666666667
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