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Simplifying -8(x + -6) = -22 + 2x Reorder the terms: -8(-6 + x) = -22 + 2x (-6 * -8 + x * -8) = -22 + 2x (48 + -8x) = -22 + 2x Solving 48 + -8x = -22 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 48 + -8x + -2x = -22 + 2x + -2x Combine like terms: -8x + -2x = -10x 48 + -10x = -22 + 2x + -2x Combine like terms: 2x + -2x = 0 48 + -10x = -22 + 0 48 + -10x = -22 Add '-48' to each side of the equation. 48 + -48 + -10x = -22 + -48 Combine like terms: 48 + -48 = 0 0 + -10x = -22 + -48 -10x = -22 + -48 Combine like terms: -22 + -48 = -70 -10x = -70 Divide each side by '-10'. x = 7 Simplifying x = 7
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