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Simplifying 6(6x + -6) + 6 = 8x + -8 Reorder the terms: 6(-6 + 6x) + 6 = 8x + -8 (-6 * 6 + 6x * 6) + 6 = 8x + -8 (-36 + 36x) + 6 = 8x + -8 Reorder the terms: -36 + 6 + 36x = 8x + -8 Combine like terms: -36 + 6 = -30 -30 + 36x = 8x + -8 Reorder the terms: -30 + 36x = -8 + 8x Solving -30 + 36x = -8 + 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. -30 + 36x + -8x = -8 + 8x + -8x Combine like terms: 36x + -8x = 28x -30 + 28x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 -30 + 28x = -8 + 0 -30 + 28x = -8 Add '30' to each side of the equation. -30 + 30 + 28x = -8 + 30 Combine like terms: -30 + 30 = 0 0 + 28x = -8 + 30 28x = -8 + 30 Combine like terms: -8 + 30 = 22 28x = 22 Divide each side by '28'. x = 0.7857142857 Simplifying x = 0.7857142857
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