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Simplifying 6x + 6 + -8(x + 1) = 5x + 2 Reorder the terms: 6x + 6 + -8(1 + x) = 5x + 2 6x + 6 + (1 * -8 + x * -8) = 5x + 2 6x + 6 + (-8 + -8x) = 5x + 2 Reorder the terms: 6 + -8 + 6x + -8x = 5x + 2 Combine like terms: 6 + -8 = -2 -2 + 6x + -8x = 5x + 2 Combine like terms: 6x + -8x = -2x -2 + -2x = 5x + 2 Reorder the terms: -2 + -2x = 2 + 5x Solving -2 + -2x = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2 + -2x + -5x = 2 + 5x + -5x Combine like terms: -2x + -5x = -7x -2 + -7x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -7x = 2 + 0 -2 + -7x = 2 Add '2' to each side of the equation. -2 + 2 + -7x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = 2 + 2 -7x = 2 + 2 Combine like terms: 2 + 2 = 4 -7x = 4 Divide each side by '-7'. x = -0.5714285714 Simplifying x = -0.5714285714
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