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Simplifying 7(4x + 2) = 9(3x + -6) + 35 Reorder the terms: 7(2 + 4x) = 9(3x + -6) + 35 (2 * 7 + 4x * 7) = 9(3x + -6) + 35 (14 + 28x) = 9(3x + -6) + 35 Reorder the terms: 14 + 28x = 9(-6 + 3x) + 35 14 + 28x = (-6 * 9 + 3x * 9) + 35 14 + 28x = (-54 + 27x) + 35 Reorder the terms: 14 + 28x = -54 + 35 + 27x Combine like terms: -54 + 35 = -19 14 + 28x = -19 + 27x Solving 14 + 28x = -19 + 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 = -19 + 27x + -27x Combine like terms: 28x + -27x = 1x 14 + 1x = -19 + 27x + -27x Combine like terms: 27x + -27x = 0 14 + 1x = -19 + 0 14 + 1x = -19 Add '-14' to each side of the equation. 14 + -14 + 1x = -19 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = -19 + -14 1x = -19 + -14 Combine like terms: -19 + -14 = -33 1x = -33 Divide each side by '1'. x = -33 Simplifying x = -33
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