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Simplifying 6(3x + -3) = 8 + -1(10x + -4) Reorder the terms: 6(-3 + 3x) = 8 + -1(10x + -4) (-3 * 6 + 3x * 6) = 8 + -1(10x + -4) (-18 + 18x) = 8 + -1(10x + -4) Reorder the terms: -18 + 18x = 8 + -1(-4 + 10x) -18 + 18x = 8 + (-4 * -1 + 10x * -1) -18 + 18x = 8 + (4 + -10x) Combine like terms: 8 + 4 = 12 -18 + 18x = 12 + -10x Solving -18 + 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. -18 + 18x + 10x = 12 + -10x + 10x Combine like terms: 18x + 10x = 28x -18 + 28x = 12 + -10x + 10x Combine like terms: -10x + 10x = 0 -18 + 28x = 12 + 0 -18 + 28x = 12 Add '18' to each side of the equation. -18 + 18 + 28x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 28x = 12 + 18 28x = 12 + 18 Combine like terms: 12 + 18 = 30 28x = 30 Divide each side by '28'. x = 1.071428571 Simplifying x = 1.071428571
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