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Simplifying 10x + 4y + 3 = 5(3y + 4) Reorder the terms: 3 + 10x + 4y = 5(3y + 4) Reorder the terms: 3 + 10x + 4y = 5(4 + 3y) 3 + 10x + 4y = (4 * 5 + 3y * 5) 3 + 10x + 4y = (20 + 15y) Solving 3 + 10x + 4y = 20 + 15y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 10x + -3 + 4y = 20 + -3 + 15y Reorder the terms: 3 + -3 + 10x + 4y = 20 + -3 + 15y Combine like terms: 3 + -3 = 0 0 + 10x + 4y = 20 + -3 + 15y 10x + 4y = 20 + -3 + 15y Combine like terms: 20 + -3 = 17 10x + 4y = 17 + 15y Add '-4y' to each side of the equation. 10x + 4y + -4y = 17 + 15y + -4y Combine like terms: 4y + -4y = 0 10x + 0 = 17 + 15y + -4y 10x = 17 + 15y + -4y Combine like terms: 15y + -4y = 11y 10x = 17 + 11y Divide each side by '10'. x = 1.7 + 1.1y Simplifying x = 1.7 + 1.1y
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