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Simplifying 5(2x + 9) + -4(6x) = 3 Reorder the terms: 5(9 + 2x) + -4(6x) = 3 (9 * 5 + 2x * 5) + -4(6x) = 3 (45 + 10x) + -4(6x) = 3 Remove parenthesis around (6x) 45 + 10x + -4 * 6x = 3 Multiply -4 * 6 45 + 10x + -24x = 3 Combine like terms: 10x + -24x = -14x 45 + -14x = 3 Solving 45 + -14x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -14x = 3 + -45 Combine like terms: 45 + -45 = 0 0 + -14x = 3 + -45 -14x = 3 + -45 Combine like terms: 3 + -45 = -42 -14x = -42 Divide each side by '-14'. x = 3 Simplifying x = 3
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