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Simplifying 2x + 7 + -5(x + 1) = 4x + 8 Reorder the terms: 2x + 7 + -5(1 + x) = 4x + 8 2x + 7 + (1 * -5 + x * -5) = 4x + 8 2x + 7 + (-5 + -5x) = 4x + 8 Reorder the terms: 7 + -5 + 2x + -5x = 4x + 8 Combine like terms: 7 + -5 = 2 2 + 2x + -5x = 4x + 8 Combine like terms: 2x + -5x = -3x 2 + -3x = 4x + 8 Reorder the terms: 2 + -3x = 8 + 4x Solving 2 + -3x = 8 + 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. 2 + -3x + -4x = 8 + 4x + -4x Combine like terms: -3x + -4x = -7x 2 + -7x = 8 + 4x + -4x Combine like terms: 4x + -4x = 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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