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Simplifying 6x + -9 + 11x = 32 + -12 * 4x Reorder the terms: -9 + 6x + 11x = 32 + -12 * 4x Combine like terms: 6x + 11x = 17x -9 + 17x = 32 + -12 * 4x Multiply -12 * 4 -9 + 17x = 32 + -48x Solving -9 + 17x = 32 + -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. -9 + 17x + 48x = 32 + -48x + 48x Combine like terms: 17x + 48x = 65x -9 + 65x = 32 + -48x + 48x Combine like terms: -48x + 48x = 0 -9 + 65x = 32 + 0 -9 + 65x = 32 Add '9' to each side of the equation. -9 + 9 + 65x = 32 + 9 Combine like terms: -9 + 9 = 0 0 + 65x = 32 + 9 65x = 32 + 9 Combine like terms: 32 + 9 = 41 65x = 41 Divide each side by '65'. x = 0.6307692308 Simplifying x = 0.6307692308
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