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Simplifying 9x + 10 = 7(x + 4) Reorder the terms: 10 + 9x = 7(x + 4) Reorder the terms: 10 + 9x = 7(4 + x) 10 + 9x = (4 * 7 + x * 7) 10 + 9x = (28 + 7x) Solving 10 + 9x = 28 + 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. 10 + 9x + -7x = 28 + 7x + -7x Combine like terms: 9x + -7x = 2x 10 + 2x = 28 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + 2x = 28 + 0 10 + 2x = 28 Add '-10' to each side of the equation. 10 + -10 + 2x = 28 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 28 + -10 2x = 28 + -10 Combine like terms: 28 + -10 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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