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Simplifying 7x + 9 + -5(x + 1) = 9x + 7 Reorder the terms: 7x + 9 + -5(1 + x) = 9x + 7 7x + 9 + (1 * -5 + x * -5) = 9x + 7 7x + 9 + (-5 + -5x) = 9x + 7 Reorder the terms: 9 + -5 + 7x + -5x = 9x + 7 Combine like terms: 9 + -5 = 4 4 + 7x + -5x = 9x + 7 Combine like terms: 7x + -5x = 2x 4 + 2x = 9x + 7 Reorder the terms: 4 + 2x = 7 + 9x Solving 4 + 2x = 7 + 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. 4 + 2x + -9x = 7 + 9x + -9x Combine like terms: 2x + -9x = -7x 4 + -7x = 7 + 9x + -9x Combine like terms: 9x + -9x = 0 4 + -7x = 7 + 0 4 + -7x = 7 Add '-4' to each side of the equation. 4 + -4 + -7x = 7 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = 7 + -4 -7x = 7 + -4 Combine like terms: 7 + -4 = 3 -7x = 3 Divide each side by '-7'. x = -0.4285714286 Simplifying x = -0.4285714286
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