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Simplifying 5(3x + -6) = 10x + 65 Reorder the terms: 5(-6 + 3x) = 10x + 65 (-6 * 5 + 3x * 5) = 10x + 65 (-30 + 15x) = 10x + 65 Reorder the terms: -30 + 15x = 65 + 10x Solving -30 + 15x = 65 + 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. -30 + 15x + -10x = 65 + 10x + -10x Combine like terms: 15x + -10x = 5x -30 + 5x = 65 + 10x + -10x Combine like terms: 10x + -10x = 0 -30 + 5x = 65 + 0 -30 + 5x = 65 Add '30' to each side of the equation. -30 + 30 + 5x = 65 + 30 Combine like terms: -30 + 30 = 0 0 + 5x = 65 + 30 5x = 65 + 30 Combine like terms: 65 + 30 = 95 5x = 95 Divide each side by '5'. x = 19 Simplifying x = 19
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