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Simplifying 7(x + 3) + -5 = 11 + 2x Reorder the terms: 7(3 + x) + -5 = 11 + 2x (3 * 7 + x * 7) + -5 = 11 + 2x (21 + 7x) + -5 = 11 + 2x Reorder the terms: 21 + -5 + 7x = 11 + 2x Combine like terms: 21 + -5 = 16 16 + 7x = 11 + 2x Solving 16 + 7x = 11 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 16 + 7x + -2x = 11 + 2x + -2x Combine like terms: 7x + -2x = 5x 16 + 5x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 16 + 5x = 11 + 0 16 + 5x = 11 Add '-16' to each side of the equation. 16 + -16 + 5x = 11 + -16 Combine like terms: 16 + -16 = 0 0 + 5x = 11 + -16 5x = 11 + -16 Combine like terms: 11 + -16 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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