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Simplifying 12 + -3(x + 2 + -4x) = 10x + -1(-5x + 4) + 22 Reorder the terms: 12 + -3(2 + x + -4x) = 10x + -1(-5x + 4) + 22 Combine like terms: x + -4x = -3x 12 + -3(2 + -3x) = 10x + -1(-5x + 4) + 22 12 + (2 * -3 + -3x * -3) = 10x + -1(-5x + 4) + 22 12 + (-6 + 9x) = 10x + -1(-5x + 4) + 22 Combine like terms: 12 + -6 = 6 6 + 9x = 10x + -1(-5x + 4) + 22 Reorder the terms: 6 + 9x = 10x + -1(4 + -5x) + 22 6 + 9x = 10x + (4 * -1 + -5x * -1) + 22 6 + 9x = 10x + (-4 + 5x) + 22 Reorder the terms: 6 + 9x = -4 + 22 + 10x + 5x Combine like terms: -4 + 22 = 18 6 + 9x = 18 + 10x + 5x Combine like terms: 10x + 5x = 15x 6 + 9x = 18 + 15x Solving 6 + 9x = 18 + 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. 6 + 9x + -15x = 18 + 15x + -15x Combine like terms: 9x + -15x = -6x 6 + -6x = 18 + 15x + -15x Combine like terms: 15x + -15x = 0 6 + -6x = 18 + 0 6 + -6x = 18 Add '-6' to each side of the equation. 6 + -6 + -6x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = 18 + -6 -6x = 18 + -6 Combine like terms: 18 + -6 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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