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Simplifying 6(2x + -1) + -12 = 3(x + 4) Reorder the terms: 6(-1 + 2x) + -12 = 3(x + 4) (-1 * 6 + 2x * 6) + -12 = 3(x + 4) (-6 + 12x) + -12 = 3(x + 4) Reorder the terms: -6 + -12 + 12x = 3(x + 4) Combine like terms: -6 + -12 = -18 -18 + 12x = 3(x + 4) Reorder the terms: -18 + 12x = 3(4 + x) -18 + 12x = (4 * 3 + x * 3) -18 + 12x = (12 + 3x) Solving -18 + 12x = 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. -18 + 12x + -3x = 12 + 3x + -3x Combine like terms: 12x + -3x = 9x -18 + 9x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + 9x = 12 + 0 -18 + 9x = 12 Add '18' to each side of the equation. -18 + 18 + 9x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 9x = 12 + 18 9x = 12 + 18 Combine like terms: 12 + 18 = 30 9x = 30 Divide each side by '9'. x = 3.333333333 Simplifying x = 3.333333333
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