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Simplifying 7(4x + 2) = 9(3x + -5) + 49 Reorder the terms: 7(2 + 4x) = 9(3x + -5) + 49 (2 * 7 + 4x * 7) = 9(3x + -5) + 49 (14 + 28x) = 9(3x + -5) + 49 Reorder the terms: 14 + 28x = 9(-5 + 3x) + 49 14 + 28x = (-5 * 9 + 3x * 9) + 49 14 + 28x = (-45 + 27x) + 49 Reorder the terms: 14 + 28x = -45 + 49 + 27x Combine like terms: -45 + 49 = 4 14 + 28x = 4 + 27x Solving 14 + 28x = 4 + 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. 14 + 28x + -27x = 4 + 27x + -27x Combine like terms: 28x + -27x = 1x 14 + 1x = 4 + 27x + -27x Combine like terms: 27x + -27x = 0 14 + 1x = 4 + 0 14 + 1x = 4 Add '-14' to each side of the equation. 14 + -14 + 1x = 4 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 4 + -14 1x = 4 + -14 Combine like terms: 4 + -14 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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