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Simplifying 5(x + 4) = 10x + 30 Reorder the terms: 5(4 + x) = 10x + 30 (4 * 5 + x * 5) = 10x + 30 (20 + 5x) = 10x + 30 Reorder the terms: 20 + 5x = 30 + 10x Solving 20 + 5x = 30 + 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. 20 + 5x + -10x = 30 + 10x + -10x Combine like terms: 5x + -10x = -5x 20 + -5x = 30 + 10x + -10x Combine like terms: 10x + -10x = 0 20 + -5x = 30 + 0 20 + -5x = 30 Add '-20' to each side of the equation. 20 + -20 + -5x = 30 + -20 Combine like terms: 20 + -20 = 0 0 + -5x = 30 + -20 -5x = 30 + -20 Combine like terms: 30 + -20 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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