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Simplifying 3x + 9 + -7(x + 1) = 5x + 7 Reorder the terms: 3x + 9 + -7(1 + x) = 5x + 7 3x + 9 + (1 * -7 + x * -7) = 5x + 7 3x + 9 + (-7 + -7x) = 5x + 7 Reorder the terms: 9 + -7 + 3x + -7x = 5x + 7 Combine like terms: 9 + -7 = 2 2 + 3x + -7x = 5x + 7 Combine like terms: 3x + -7x = -4x 2 + -4x = 5x + 7 Reorder the terms: 2 + -4x = 7 + 5x Solving 2 + -4x = 7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2 + -4x + -5x = 7 + 5x + -5x Combine like terms: -4x + -5x = -9x 2 + -9x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -9x = 7 + 0 2 + -9x = 7 Add '-2' to each side of the equation. 2 + -2 + -9x = 7 + -2 Combine like terms: 2 + -2 = 0 0 + -9x = 7 + -2 -9x = 7 + -2 Combine like terms: 7 + -2 = 5 -9x = 5 Divide each side by '-9'. x = -0.5555555556 Simplifying x = -0.5555555556
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