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Simplifying 3(2x + -1) + -5(3x + -5) = 12 Reorder the terms: 3(-1 + 2x) + -5(3x + -5) = 12 (-1 * 3 + 2x * 3) + -5(3x + -5) = 12 (-3 + 6x) + -5(3x + -5) = 12 Reorder the terms: -3 + 6x + -5(-5 + 3x) = 12 -3 + 6x + (-5 * -5 + 3x * -5) = 12 -3 + 6x + (25 + -15x) = 12 Reorder the terms: -3 + 25 + 6x + -15x = 12 Combine like terms: -3 + 25 = 22 22 + 6x + -15x = 12 Combine like terms: 6x + -15x = -9x 22 + -9x = 12 Solving 22 + -9x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -9x = 12 + -22 Combine like terms: 22 + -22 = 0 0 + -9x = 12 + -22 -9x = 12 + -22 Combine like terms: 12 + -22 = -10 -9x = -10 Divide each side by '-9'. x = 1.111111111 Simplifying x = 1.111111111
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