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Simplifying 2(x + 4) + 3 = 7x + 21 Reorder the terms: 2(4 + x) + 3 = 7x + 21 (4 * 2 + x * 2) + 3 = 7x + 21 (8 + 2x) + 3 = 7x + 21 Reorder the terms: 8 + 3 + 2x = 7x + 21 Combine like terms: 8 + 3 = 11 11 + 2x = 7x + 21 Reorder the terms: 11 + 2x = 21 + 7x Solving 11 + 2x = 21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 11 + 2x + -7x = 21 + 7x + -7x Combine like terms: 2x + -7x = -5x 11 + -5x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 11 + -5x = 21 + 0 11 + -5x = 21 Add '-11' to each side of the equation. 11 + -11 + -5x = 21 + -11 Combine like terms: 11 + -11 = 0 0 + -5x = 21 + -11 -5x = 21 + -11 Combine like terms: 21 + -11 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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