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Simplifying 3x + 7 + -8(x + 1) = 2x + 5 Reorder the terms: 3x + 7 + -8(1 + x) = 2x + 5 3x + 7 + (1 * -8 + x * -8) = 2x + 5 3x + 7 + (-8 + -8x) = 2x + 5 Reorder the terms: 7 + -8 + 3x + -8x = 2x + 5 Combine like terms: 7 + -8 = -1 -1 + 3x + -8x = 2x + 5 Combine like terms: 3x + -8x = -5x -1 + -5x = 2x + 5 Reorder the terms: -1 + -5x = 5 + 2x Solving -1 + -5x = 5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -1 + -5x + -2x = 5 + 2x + -2x Combine like terms: -5x + -2x = -7x -1 + -7x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + -7x = 5 + 0 -1 + -7x = 5 Add '1' to each side of the equation. -1 + 1 + -7x = 5 + 1 Combine like terms: -1 + 1 = 0 0 + -7x = 5 + 1 -7x = 5 + 1 Combine like terms: 5 + 1 = 6 -7x = 6 Divide each side by '-7'. x = -0.8571428571 Simplifying x = -0.8571428571
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