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Simplifying -8 = 6(-5x + 3) + 2(x + 5) Reorder the terms: -8 = 6(3 + -5x) + 2(x + 5) -8 = (3 * 6 + -5x * 6) + 2(x + 5) -8 = (18 + -30x) + 2(x + 5) Reorder the terms: -8 = 18 + -30x + 2(5 + x) -8 = 18 + -30x + (5 * 2 + x * 2) -8 = 18 + -30x + (10 + 2x) Reorder the terms: -8 = 18 + 10 + -30x + 2x Combine like terms: 18 + 10 = 28 -8 = 28 + -30x + 2x Combine like terms: -30x + 2x = -28x -8 = 28 + -28x Solving -8 = 28 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. -8 + 28x = 28 + -28x + 28x Combine like terms: -28x + 28x = 0 -8 + 28x = 28 + 0 -8 + 28x = 28 Add '8' to each side of the equation. -8 + 8 + 28x = 28 + 8 Combine like terms: -8 + 8 = 0 0 + 28x = 28 + 8 28x = 28 + 8 Combine like terms: 28 + 8 = 36 28x = 36 Divide each side by '28'. x = 1.285714286 Simplifying x = 1.285714286
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