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Simplifying -8x + 22 = -4(x + -2) + -6x Reorder the terms: 22 + -8x = -4(x + -2) + -6x Reorder the terms: 22 + -8x = -4(-2 + x) + -6x 22 + -8x = (-2 * -4 + x * -4) + -6x 22 + -8x = (8 + -4x) + -6x Combine like terms: -4x + -6x = -10x 22 + -8x = 8 + -10x Solving 22 + -8x = 8 + -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. 22 + -8x + 10x = 8 + -10x + 10x Combine like terms: -8x + 10x = 2x 22 + 2x = 8 + -10x + 10x Combine like terms: -10x + 10x = 0 22 + 2x = 8 + 0 22 + 2x = 8 Add '-22' to each side of the equation. 22 + -22 + 2x = 8 + -22 Combine like terms: 22 + -22 = 0 0 + 2x = 8 + -22 2x = 8 + -22 Combine like terms: 8 + -22 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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