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Simplifying 6(3x + -1) = 8 + -1(10x + -4) Reorder the terms: 6(-1 + 3x) = 8 + -1(10x + -4) (-1 * 6 + 3x * 6) = 8 + -1(10x + -4) (-6 + 18x) = 8 + -1(10x + -4) Reorder the terms: -6 + 18x = 8 + -1(-4 + 10x) -6 + 18x = 8 + (-4 * -1 + 10x * -1) -6 + 18x = 8 + (4 + -10x) Combine like terms: 8 + 4 = 12 -6 + 18x = 12 + -10x Solving -6 + 18x = 12 + -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 = 12 + -10x + 10x Combine like terms: 18x + 10x = 28x -6 + 28x = 12 + -10x + 10x Combine like terms: -10x + 10x = 0 -6 + 28x = 12 + 0 -6 + 28x = 12 Add '6' to each side of the equation. -6 + 6 + 28x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 28x = 12 + 6 28x = 12 + 6 Combine like terms: 12 + 6 = 18 28x = 18 Divide each side by '28'. x = 0.6428571429 Simplifying x = 0.6428571429
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