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Simplifying -5(-6x + 6) + -8x = -4(1 + x) Reorder the terms: -5(6 + -6x) + -8x = -4(1 + x) (6 * -5 + -6x * -5) + -8x = -4(1 + x) (-30 + 30x) + -8x = -4(1 + x) Combine like terms: 30x + -8x = 22x -30 + 22x = -4(1 + x) -30 + 22x = (1 * -4 + x * -4) -30 + 22x = (-4 + -4x) Solving -30 + 22x = -4 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -30 + 22x + 4x = -4 + -4x + 4x Combine like terms: 22x + 4x = 26x -30 + 26x = -4 + -4x + 4x Combine like terms: -4x + 4x = 0 -30 + 26x = -4 + 0 -30 + 26x = -4 Add '30' to each side of the equation. -30 + 30 + 26x = -4 + 30 Combine like terms: -30 + 30 = 0 0 + 26x = -4 + 30 26x = -4 + 30 Combine like terms: -4 + 30 = 26 26x = 26 Divide each side by '26'. x = 1 Simplifying x = 1
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