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Simplifying 4x + 8 + -6(x + 1) = 5x + 8 Reorder the terms: 4x + 8 + -6(1 + x) = 5x + 8 4x + 8 + (1 * -6 + x * -6) = 5x + 8 4x + 8 + (-6 + -6x) = 5x + 8 Reorder the terms: 8 + -6 + 4x + -6x = 5x + 8 Combine like terms: 8 + -6 = 2 2 + 4x + -6x = 5x + 8 Combine like terms: 4x + -6x = -2x 2 + -2x = 5x + 8 Reorder the terms: 2 + -2x = 8 + 5x Solving 2 + -2x = 8 + 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 = 8 + 5x + -5x Combine like terms: -2x + -5x = -7x 2 + -7x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -7x = 8 + 0 2 + -7x = 8 Add '-2' to each side of the equation. 2 + -2 + -7x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 8 + -2 -7x = 8 + -2 Combine like terms: 8 + -2 = 6 -7x = 6 Divide each side by '-7'. x = -0.8571428571 Simplifying x = -0.8571428571
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