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Simplifying 5(3x + 2) = 7(2x + 9) Reorder the terms: 5(2 + 3x) = 7(2x + 9) (2 * 5 + 3x * 5) = 7(2x + 9) (10 + 15x) = 7(2x + 9) Reorder the terms: 10 + 15x = 7(9 + 2x) 10 + 15x = (9 * 7 + 2x * 7) 10 + 15x = (63 + 14x) Solving 10 + 15x = 63 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 10 + 15x + -14x = 63 + 14x + -14x Combine like terms: 15x + -14x = 1x 10 + 1x = 63 + 14x + -14x Combine like terms: 14x + -14x = 0 10 + 1x = 63 + 0 10 + 1x = 63 Add '-10' to each side of the equation. 10 + -10 + 1x = 63 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 63 + -10 1x = 63 + -10 Combine like terms: 63 + -10 = 53 1x = 53 Divide each side by '1'. x = 53 Simplifying x = 53
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