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Simplifying 4(x + 5) = x + 35 Reorder the terms: 4(5 + x) = x + 35 (5 * 4 + x * 4) = x + 35 (20 + 4x) = x + 35 Reorder the terms: 20 + 4x = 35 + x Solving 20 + 4x = 35 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 20 + 4x + -1x = 35 + x + -1x Combine like terms: 4x + -1x = 3x 20 + 3x = 35 + x + -1x Combine like terms: x + -1x = 0 20 + 3x = 35 + 0 20 + 3x = 35 Add '-20' to each side of the equation. 20 + -20 + 3x = 35 + -20 Combine like terms: 20 + -20 = 0 0 + 3x = 35 + -20 3x = 35 + -20 Combine like terms: 35 + -20 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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