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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 = -8 -8 = -8 + -30x + 2x Combine like terms: -30x + 2x = -28x -8 = -8 + -28x Add '8' to each side of the equation. -8 + 8 = -8 + 8 + -28x Combine like terms: -8 + 8 = 0 0 = -8 + 8 + -28x Combine like terms: -8 + 8 = 0 0 = 0 + -28x 0 = -28x Solving 0 = -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. 0 + 28x = -28x + 28x Remove the zero: 28x = -28x + 28x Combine like terms: -28x + 28x = 0 28x = 0 Divide each side by '28'. x = 0 Simplifying x = 0
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