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Simplifying 3(x + 4) + -6x = -10x + -22 Reorder the terms: 3(4 + x) + -6x = -10x + -22 (4 * 3 + x * 3) + -6x = -10x + -22 (12 + 3x) + -6x = -10x + -22 Combine like terms: 3x + -6x = -3x 12 + -3x = -10x + -22 Reorder the terms: 12 + -3x = -22 + -10x Solving 12 + -3x = -22 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 12 + -3x + 10x = -22 + -10x + 10x Combine like terms: -3x + 10x = 7x 12 + 7x = -22 + -10x + 10x Combine like terms: -10x + 10x = 0 12 + 7x = -22 + 0 12 + 7x = -22 Add '-12' to each side of the equation. 12 + -12 + 7x = -22 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = -22 + -12 7x = -22 + -12 Combine like terms: -22 + -12 = -34 7x = -34 Divide each side by '7'. x = -4.857142857 Simplifying x = -4.857142857
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