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Simplifying 5(2x + 9) = 7(2x) Reorder the terms: 5(9 + 2x) = 7(2x) (9 * 5 + 2x * 5) = 7(2x) (45 + 10x) = 7(2x) Remove parenthesis around (2x) 45 + 10x = 7 * 2x Multiply 7 * 2 45 + 10x = 14x Solving 45 + 10x = 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. 45 + 10x + -14x = 14x + -14x Combine like terms: 10x + -14x = -4x 45 + -4x = 14x + -14x Combine like terms: 14x + -14x = 0 45 + -4x = 0 Add '-45' to each side of the equation. 45 + -45 + -4x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -4x = 0 + -45 -4x = 0 + -45 Combine like terms: 0 + -45 = -45 -4x = -45 Divide each side by '-4'. x = 11.25 Simplifying x = 11.25
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