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Simplifying 6(3x + -1) = 8 + -1(10 + -14) Reorder the terms: 6(-1 + 3x) = 8 + -1(10 + -14) (-1 * 6 + 3x * 6) = 8 + -1(10 + -14) (-6 + 18x) = 8 + -1(10 + -14) Combine like terms: 10 + -14 = -4 -6 + 18x = 8 + -1(-4) Multiply -1 * -4 -6 + 18x = 8 + 4 Combine like terms: 8 + 4 = 12 -6 + 18x = 12 Solving -6 + 18x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 18x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 18x = 12 + 6 18x = 12 + 6 Combine like terms: 12 + 6 = 18 18x = 18 Divide each side by '18'. x = 1 Simplifying x = 1
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