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Simplifying 7(9x + 4) + -3x = -6(2 + -9x) + x Reorder the terms: 7(4 + 9x) + -3x = -6(2 + -9x) + x (4 * 7 + 9x * 7) + -3x = -6(2 + -9x) + x (28 + 63x) + -3x = -6(2 + -9x) + x Combine like terms: 63x + -3x = 60x 28 + 60x = -6(2 + -9x) + x 28 + 60x = (2 * -6 + -9x * -6) + x 28 + 60x = (-12 + 54x) + x Combine like terms: 54x + x = 55x 28 + 60x = -12 + 55x Solving 28 + 60x = -12 + 55x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55x' to each side of the equation. 28 + 60x + -55x = -12 + 55x + -55x Combine like terms: 60x + -55x = 5x 28 + 5x = -12 + 55x + -55x Combine like terms: 55x + -55x = 0 28 + 5x = -12 + 0 28 + 5x = -12 Add '-28' to each side of the equation. 28 + -28 + 5x = -12 + -28 Combine like terms: 28 + -28 = 0 0 + 5x = -12 + -28 5x = -12 + -28 Combine like terms: -12 + -28 = -40 5x = -40 Divide each side by '5'. x = -8 Simplifying x = -8
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