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Simplifying 6(x + -7) + -6 = 22 + -8x Reorder the terms: 6(-7 + x) + -6 = 22 + -8x (-7 * 6 + x * 6) + -6 = 22 + -8x (-42 + 6x) + -6 = 22 + -8x Reorder the terms: -42 + -6 + 6x = 22 + -8x Combine like terms: -42 + -6 = -48 -48 + 6x = 22 + -8x Solving -48 + 6x = 22 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -48 + 6x + 8x = 22 + -8x + 8x Combine like terms: 6x + 8x = 14x -48 + 14x = 22 + -8x + 8x Combine like terms: -8x + 8x = 0 -48 + 14x = 22 + 0 -48 + 14x = 22 Add '48' to each side of the equation. -48 + 48 + 14x = 22 + 48 Combine like terms: -48 + 48 = 0 0 + 14x = 22 + 48 14x = 22 + 48 Combine like terms: 22 + 48 = 70 14x = 70 Divide each side by '14'. x = 5 Simplifying x = 5
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