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Simplifying 5x + -7 = 9(x + 1) Reorder the terms: -7 + 5x = 9(x + 1) Reorder the terms: -7 + 5x = 9(1 + x) -7 + 5x = (1 * 9 + x * 9) -7 + 5x = (9 + 9x) Solving -7 + 5x = 9 + 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 + 5x + -9x = 9 + 9x + -9x Combine like terms: 5x + -9x = -4x -7 + -4x = 9 + 9x + -9x Combine like terms: 9x + -9x = 0 -7 + -4x = 9 + 0 -7 + -4x = 9 Add '7' to each side of the equation. -7 + 7 + -4x = 9 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = 9 + 7 -4x = 9 + 7 Combine like terms: 9 + 7 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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