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Simplifying 4(x + 10) = 3(x + 15) Reorder the terms: 4(10 + x) = 3(x + 15) (10 * 4 + x * 4) = 3(x + 15) (40 + 4x) = 3(x + 15) Reorder the terms: 40 + 4x = 3(15 + x) 40 + 4x = (15 * 3 + x * 3) 40 + 4x = (45 + 3x) Solving 40 + 4x = 45 + 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. 40 + 4x + -3x = 45 + 3x + -3x Combine like terms: 4x + -3x = 1x 40 + 1x = 45 + 3x + -3x Combine like terms: 3x + -3x = 0 40 + 1x = 45 + 0 40 + 1x = 45 Add '-40' to each side of the equation. 40 + -40 + 1x = 45 + -40 Combine like terms: 40 + -40 = 0 0 + 1x = 45 + -40 1x = 45 + -40 Combine like terms: 45 + -40 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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