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Simplifying 5(3x + 4) = 10x + 90 Reorder the terms: 5(4 + 3x) = 10x + 90 (4 * 5 + 3x * 5) = 10x + 90 (20 + 15x) = 10x + 90 Reorder the terms: 20 + 15x = 90 + 10x Solving 20 + 15x = 90 + 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 + 15x + -10x = 90 + 10x + -10x Combine like terms: 15x + -10x = 5x 20 + 5x = 90 + 10x + -10x Combine like terms: 10x + -10x = 0 20 + 5x = 90 + 0 20 + 5x = 90 Add '-20' to each side of the equation. 20 + -20 + 5x = 90 + -20 Combine like terms: 20 + -20 = 0 0 + 5x = 90 + -20 5x = 90 + -20 Combine like terms: 90 + -20 = 70 5x = 70 Divide each side by '5'. x = 14 Simplifying x = 14
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