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Simplifying 4(x + 5) = 35 + 3x Reorder the terms: 4(5 + x) = 35 + 3x (5 * 4 + x * 4) = 35 + 3x (20 + 4x) = 35 + 3x Solving 20 + 4x = 35 + 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. 20 + 4x + -3x = 35 + 3x + -3x Combine like terms: 4x + -3x = 1x 20 + 1x = 35 + 3x + -3x Combine like terms: 3x + -3x = 0 20 + 1x = 35 + 0 20 + 1x = 35 Add '-20' to each side of the equation. 20 + -20 + 1x = 35 + -20 Combine like terms: 20 + -20 = 0 0 + 1x = 35 + -20 1x = 35 + -20 Combine like terms: 35 + -20 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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