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Simplifying 6(3x + -1) = 8 + -1(10x + -14) Reorder the terms: 6(-1 + 3x) = 8 + -1(10x + -14) (-1 * 6 + 3x * 6) = 8 + -1(10x + -14) (-6 + 18x) = 8 + -1(10x + -14) Reorder the terms: -6 + 18x = 8 + -1(-14 + 10x) -6 + 18x = 8 + (-14 * -1 + 10x * -1) -6 + 18x = 8 + (14 + -10x) Combine like terms: 8 + 14 = 22 -6 + 18x = 22 + -10x Solving -6 + 18x = 22 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -6 + 18x + 10x = 22 + -10x + 10x Combine like terms: 18x + 10x = 28x -6 + 28x = 22 + -10x + 10x Combine like terms: -10x + 10x = 0 -6 + 28x = 22 + 0 -6 + 28x = 22 Add '6' to each side of the equation. -6 + 6 + 28x = 22 + 6 Combine like terms: -6 + 6 = 0 0 + 28x = 22 + 6 28x = 22 + 6 Combine like terms: 22 + 6 = 28 28x = 28 Divide each side by '28'. x = 1 Simplifying x = 1
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