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Simplifying 12 + -1(4 + -9x) = 15x + -22 12 + (4 * -1 + -9x * -1) = 15x + -22 12 + (-4 + 9x) = 15x + -22 Combine like terms: 12 + -4 = 8 8 + 9x = 15x + -22 Reorder the terms: 8 + 9x = -22 + 15x Solving 8 + 9x = -22 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 8 + 9x + -15x = -22 + 15x + -15x Combine like terms: 9x + -15x = -6x 8 + -6x = -22 + 15x + -15x Combine like terms: 15x + -15x = 0 8 + -6x = -22 + 0 8 + -6x = -22 Add '-8' to each side of the equation. 8 + -8 + -6x = -22 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = -22 + -8 -6x = -22 + -8 Combine like terms: -22 + -8 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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