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Simplifying 6(5x + -3) = 2(x + 10) Reorder the terms: 6(-3 + 5x) = 2(x + 10) (-3 * 6 + 5x * 6) = 2(x + 10) (-18 + 30x) = 2(x + 10) Reorder the terms: -18 + 30x = 2(10 + x) -18 + 30x = (10 * 2 + x * 2) -18 + 30x = (20 + 2x) Solving -18 + 30x = 20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -18 + 30x + -2x = 20 + 2x + -2x Combine like terms: 30x + -2x = 28x -18 + 28x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + 28x = 20 + 0 -18 + 28x = 20 Add '18' to each side of the equation. -18 + 18 + 28x = 20 + 18 Combine like terms: -18 + 18 = 0 0 + 28x = 20 + 18 28x = 20 + 18 Combine like terms: 20 + 18 = 38 28x = 38 Divide each side by '28'. x = 1.357142857 Simplifying x = 1.357142857
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