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Simplifying 5(x + 10) = 3(x + 4) Reorder the terms: 5(10 + x) = 3(x + 4) (10 * 5 + x * 5) = 3(x + 4) (50 + 5x) = 3(x + 4) Reorder the terms: 50 + 5x = 3(4 + x) 50 + 5x = (4 * 3 + x * 3) 50 + 5x = (12 + 3x) Solving 50 + 5x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 50 + 5x + -3x = 12 + 3x + -3x Combine like terms: 5x + -3x = 2x 50 + 2x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 50 + 2x = 12 + 0 50 + 2x = 12 Add '-50' to each side of the equation. 50 + -50 + 2x = 12 + -50 Combine like terms: 50 + -50 = 0 0 + 2x = 12 + -50 2x = 12 + -50 Combine like terms: 12 + -50 = -38 2x = -38 Divide each side by '2'. x = -19 Simplifying x = -19
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