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Simplifying 5x + -9 = 7(1 + x) Reorder the terms: -9 + 5x = 7(1 + x) -9 + 5x = (1 * 7 + x * 7) -9 + 5x = (7 + 7x) Solving -9 + 5x = 7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -9 + 5x + -7x = 7 + 7x + -7x Combine like terms: 5x + -7x = -2x -9 + -2x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 -9 + -2x = 7 + 0 -9 + -2x = 7 Add '9' to each side of the equation. -9 + 9 + -2x = 7 + 9 Combine like terms: -9 + 9 = 0 0 + -2x = 7 + 9 -2x = 7 + 9 Combine like terms: 7 + 9 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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