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Simplifying 7(2x + 4) + -9 = 3(5x + 2) Reorder the terms: 7(4 + 2x) + -9 = 3(5x + 2) (4 * 7 + 2x * 7) + -9 = 3(5x + 2) (28 + 14x) + -9 = 3(5x + 2) Reorder the terms: 28 + -9 + 14x = 3(5x + 2) Combine like terms: 28 + -9 = 19 19 + 14x = 3(5x + 2) Reorder the terms: 19 + 14x = 3(2 + 5x) 19 + 14x = (2 * 3 + 5x * 3) 19 + 14x = (6 + 15x) Solving 19 + 14x = 6 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 19 + 14x + -15x = 6 + 15x + -15x Combine like terms: 14x + -15x = -1x 19 + -1x = 6 + 15x + -15x Combine like terms: 15x + -15x = 0 19 + -1x = 6 + 0 19 + -1x = 6 Add '-19' to each side of the equation. 19 + -19 + -1x = 6 + -19 Combine like terms: 19 + -19 = 0 0 + -1x = 6 + -19 -1x = 6 + -19 Combine like terms: 6 + -19 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13
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