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Simplifying 7(x + 9) = 10x + 14 Reorder the terms: 7(9 + x) = 10x + 14 (9 * 7 + x * 7) = 10x + 14 (63 + 7x) = 10x + 14 Reorder the terms: 63 + 7x = 14 + 10x Solving 63 + 7x = 14 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 63 + 7x + -10x = 14 + 10x + -10x Combine like terms: 7x + -10x = -3x 63 + -3x = 14 + 10x + -10x Combine like terms: 10x + -10x = 0 63 + -3x = 14 + 0 63 + -3x = 14 Add '-63' to each side of the equation. 63 + -63 + -3x = 14 + -63 Combine like terms: 63 + -63 = 0 0 + -3x = 14 + -63 -3x = 14 + -63 Combine like terms: 14 + -63 = -49 -3x = -49 Divide each side by '-3'. x = 16.33333333 Simplifying x = 16.33333333
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