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Simplifying 14(x + -7) = 9(x + 7) Reorder the terms: 14(-7 + x) = 9(x + 7) (-7 * 14 + x * 14) = 9(x + 7) (-98 + 14x) = 9(x + 7) Reorder the terms: -98 + 14x = 9(7 + x) -98 + 14x = (7 * 9 + x * 9) -98 + 14x = (63 + 9x) Solving -98 + 14x = 63 + 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. -98 + 14x + -9x = 63 + 9x + -9x Combine like terms: 14x + -9x = 5x -98 + 5x = 63 + 9x + -9x Combine like terms: 9x + -9x = 0 -98 + 5x = 63 + 0 -98 + 5x = 63 Add '98' to each side of the equation. -98 + 98 + 5x = 63 + 98 Combine like terms: -98 + 98 = 0 0 + 5x = 63 + 98 5x = 63 + 98 Combine like terms: 63 + 98 = 161 5x = 161 Divide each side by '5'. x = 32.2 Simplifying x = 32.2
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