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Simplifying (4 + 6x) * 5 + -12x = (5x + -7) * 9 + -9x Reorder the terms for easier multiplication: 5(4 + 6x) + -12x = (5x + -7) * 9 + -9x (4 * 5 + 6x * 5) + -12x = (5x + -7) * 9 + -9x (20 + 30x) + -12x = (5x + -7) * 9 + -9x Combine like terms: 30x + -12x = 18x 20 + 18x = (5x + -7) * 9 + -9x Reorder the terms: 20 + 18x = (-7 + 5x) * 9 + -9x Reorder the terms for easier multiplication: 20 + 18x = 9(-7 + 5x) + -9x 20 + 18x = (-7 * 9 + 5x * 9) + -9x 20 + 18x = (-63 + 45x) + -9x Combine like terms: 45x + -9x = 36x 20 + 18x = -63 + 36x Solving 20 + 18x = -63 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 20 + 18x + -36x = -63 + 36x + -36x Combine like terms: 18x + -36x = -18x 20 + -18x = -63 + 36x + -36x Combine like terms: 36x + -36x = 0 20 + -18x = -63 + 0 20 + -18x = -63 Add '-20' to each side of the equation. 20 + -20 + -18x = -63 + -20 Combine like terms: 20 + -20 = 0 0 + -18x = -63 + -20 -18x = -63 + -20 Combine like terms: -63 + -20 = -83 -18x = -83 Divide each side by '-18'. x = 4.611111111 Simplifying x = 4.611111111
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