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Simplifying 7(x + 2) + -9(x + 1) + 2 = 0 Reorder the terms: 7(2 + x) + -9(x + 1) + 2 = 0 (2 * 7 + x * 7) + -9(x + 1) + 2 = 0 (14 + 7x) + -9(x + 1) + 2 = 0 Reorder the terms: 14 + 7x + -9(1 + x) + 2 = 0 14 + 7x + (1 * -9 + x * -9) + 2 = 0 14 + 7x + (-9 + -9x) + 2 = 0 Reorder the terms: 14 + -9 + 2 + 7x + -9x = 0 Combine like terms: 14 + -9 = 5 5 + 2 + 7x + -9x = 0 Combine like terms: 5 + 2 = 7 7 + 7x + -9x = 0 Combine like terms: 7x + -9x = -2x 7 + -2x = 0 Solving 7 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5
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