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Simplifying 2(3x + 1) = 3(x + -4) Reorder the terms: 2(1 + 3x) = 3(x + -4) (1 * 2 + 3x * 2) = 3(x + -4) (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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