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Simplifying 30(12) + 5x = 10(24 + x) Multiply 30 * 12 360 + 5x = 10(24 + x) 360 + 5x = (24 * 10 + x * 10) 360 + 5x = (240 + 10x) Solving 360 + 5x = 240 + 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. 360 + 5x + -10x = 240 + 10x + -10x Combine like terms: 5x + -10x = -5x 360 + -5x = 240 + 10x + -10x Combine like terms: 10x + -10x = 0 360 + -5x = 240 + 0 360 + -5x = 240 Add '-360' to each side of the equation. 360 + -360 + -5x = 240 + -360 Combine like terms: 360 + -360 = 0 0 + -5x = 240 + -360 -5x = 240 + -360 Combine like terms: 240 + -360 = -120 -5x = -120 Divide each side by '-5'. x = 24 Simplifying x = 24
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