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Simplifying 7(4x + 6) = 9(3x + -6) + 69 Reorder the terms: 7(6 + 4x) = 9(3x + -6) + 69 (6 * 7 + 4x * 7) = 9(3x + -6) + 69 (42 + 28x) = 9(3x + -6) + 69 Reorder the terms: 42 + 28x = 9(-6 + 3x) + 69 42 + 28x = (-6 * 9 + 3x * 9) + 69 42 + 28x = (-54 + 27x) + 69 Reorder the terms: 42 + 28x = -54 + 69 + 27x Combine like terms: -54 + 69 = 15 42 + 28x = 15 + 27x Solving 42 + 28x = 15 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 42 + 28x + -27x = 15 + 27x + -27x Combine like terms: 28x + -27x = 1x 42 + 1x = 15 + 27x + -27x Combine like terms: 27x + -27x = 0 42 + 1x = 15 + 0 42 + 1x = 15 Add '-42' to each side of the equation. 42 + -42 + 1x = 15 + -42 Combine like terms: 42 + -42 = 0 0 + 1x = 15 + -42 1x = 15 + -42 Combine like terms: 15 + -42 = -27 1x = -27 Divide each side by '1'. x = -27 Simplifying x = -27
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