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Simplifying 7 + 3(x + 1) = 2x + 9 Reorder the terms: 7 + 3(1 + x) = 2x + 9 7 + (1 * 3 + x * 3) = 2x + 9 7 + (3 + 3x) = 2x + 9 Combine like terms: 7 + 3 = 10 10 + 3x = 2x + 9 Reorder the terms: 10 + 3x = 9 + 2x Solving 10 + 3x = 9 + 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. 10 + 3x + -2x = 9 + 2x + -2x Combine like terms: 3x + -2x = 1x 10 + 1x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 1x = 9 + 0 10 + 1x = 9 Add '-10' to each side of the equation. 10 + -10 + 1x = 9 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 9 + -10 1x = 9 + -10 Combine like terms: 9 + -10 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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