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Simplifying 3(x + 5) = 21 + 4x Reorder the terms: 3(5 + x) = 21 + 4x (5 * 3 + x * 3) = 21 + 4x (15 + 3x) = 21 + 4x Solving 15 + 3x = 21 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 15 + 3x + -4x = 21 + 4x + -4x Combine like terms: 3x + -4x = -1x 15 + -1x = 21 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + -1x = 21 + 0 15 + -1x = 21 Add '-15' to each side of the equation. 15 + -15 + -1x = 21 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 21 + -15 -1x = 21 + -15 Combine like terms: 21 + -15 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6
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