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Simplifying 7(x + 1) = 9x + -5 Reorder the terms: 7(1 + x) = 9x + -5 (1 * 7 + x * 7) = 9x + -5 (7 + 7x) = 9x + -5 Reorder the terms: 7 + 7x = -5 + 9x Solving 7 + 7x = -5 + 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. 7 + 7x + -9x = -5 + 9x + -9x Combine like terms: 7x + -9x = -2x 7 + -2x = -5 + 9x + -9x Combine like terms: 9x + -9x = 0 7 + -2x = -5 + 0 7 + -2x = -5 Add '-7' to each side of the equation. 7 + -7 + -2x = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = -5 + -7 -2x = -5 + -7 Combine like terms: -5 + -7 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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