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Simplifying 5(3x + -11) = 10x + -45 Reorder the terms: 5(-11 + 3x) = 10x + -45 (-11 * 5 + 3x * 5) = 10x + -45 (-55 + 15x) = 10x + -45 Reorder the terms: -55 + 15x = -45 + 10x Solving -55 + 15x = -45 + 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. -55 + 15x + -10x = -45 + 10x + -10x Combine like terms: 15x + -10x = 5x -55 + 5x = -45 + 10x + -10x Combine like terms: 10x + -10x = 0 -55 + 5x = -45 + 0 -55 + 5x = -45 Add '55' to each side of the equation. -55 + 55 + 5x = -45 + 55 Combine like terms: -55 + 55 = 0 0 + 5x = -45 + 55 5x = -45 + 55 Combine like terms: -45 + 55 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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