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Simplifying 10(x + 5) = 3(4x + 3) Reorder the terms: 10(5 + x) = 3(4x + 3) (5 * 10 + x * 10) = 3(4x + 3) (50 + 10x) = 3(4x + 3) Reorder the terms: 50 + 10x = 3(3 + 4x) 50 + 10x = (3 * 3 + 4x * 3) 50 + 10x = (9 + 12x) Solving 50 + 10x = 9 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 50 + 10x + -12x = 9 + 12x + -12x Combine like terms: 10x + -12x = -2x 50 + -2x = 9 + 12x + -12x Combine like terms: 12x + -12x = 0 50 + -2x = 9 + 0 50 + -2x = 9 Add '-50' to each side of the equation. 50 + -50 + -2x = 9 + -50 Combine like terms: 50 + -50 = 0 0 + -2x = 9 + -50 -2x = 9 + -50 Combine like terms: 9 + -50 = -41 -2x = -41 Divide each side by '-2'. x = 20.5 Simplifying x = 20.5
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