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Simplifying 5(x + 3) = 7(2x + 3) Reorder the terms: 5(3 + x) = 7(2x + 3) (3 * 5 + x * 5) = 7(2x + 3) (15 + 5x) = 7(2x + 3) Reorder the terms: 15 + 5x = 7(3 + 2x) 15 + 5x = (3 * 7 + 2x * 7) 15 + 5x = (21 + 14x) Solving 15 + 5x = 21 + 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. 15 + 5x + -14x = 21 + 14x + -14x Combine like terms: 5x + -14x = -9x 15 + -9x = 21 + 14x + -14x Combine like terms: 14x + -14x = 0 15 + -9x = 21 + 0 15 + -9x = 21 Add '-15' to each side of the equation. 15 + -15 + -9x = 21 + -15 Combine like terms: 15 + -15 = 0 0 + -9x = 21 + -15 -9x = 21 + -15 Combine like terms: 21 + -15 = 6 -9x = 6 Divide each side by '-9'. x = -0.6666666667 Simplifying x = -0.6666666667
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