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Simplifying 4x + 5(x + 1) + 2 = 7 + -9x Reorder the terms: 4x + 5(1 + x) + 2 = 7 + -9x 4x + (1 * 5 + x * 5) + 2 = 7 + -9x 4x + (5 + 5x) + 2 = 7 + -9x Reorder the terms: 5 + 2 + 4x + 5x = 7 + -9x Combine like terms: 5 + 2 = 7 7 + 4x + 5x = 7 + -9x Combine like terms: 4x + 5x = 9x 7 + 9x = 7 + -9x Add '-7' to each side of the equation. 7 + -7 + 9x = 7 + -7 + -9x Combine like terms: 7 + -7 = 0 0 + 9x = 7 + -7 + -9x 9x = 7 + -7 + -9x Combine like terms: 7 + -7 = 0 9x = 0 + -9x 9x = -9x Solving 9x = -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 9x + 9x = -9x + 9x Combine like terms: 9x + 9x = 18x 18x = -9x + 9x Combine like terms: -9x + 9x = 0 18x = 0 Divide each side by '18'. x = 0 Simplifying x = 0
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