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Simplifying 5(5x + -6) = -2 + -3x Reorder the terms: 5(-6 + 5x) = -2 + -3x (-6 * 5 + 5x * 5) = -2 + -3x (-30 + 25x) = -2 + -3x Solving -30 + 25x = -2 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -30 + 25x + 3x = -2 + -3x + 3x Combine like terms: 25x + 3x = 28x -30 + 28x = -2 + -3x + 3x Combine like terms: -3x + 3x = 0 -30 + 28x = -2 + 0 -30 + 28x = -2 Add '30' to each side of the equation. -30 + 30 + 28x = -2 + 30 Combine like terms: -30 + 30 = 0 0 + 28x = -2 + 30 28x = -2 + 30 Combine like terms: -2 + 30 = 28 28x = 28 Divide each side by '28'. x = 1 Simplifying x = 1
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