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Simplifying 3x + 5 + -8(x + 1) = 2x + 3 Reorder the terms: 3x + 5 + -8(1 + x) = 2x + 3 3x + 5 + (1 * -8 + x * -8) = 2x + 3 3x + 5 + (-8 + -8x) = 2x + 3 Reorder the terms: 5 + -8 + 3x + -8x = 2x + 3 Combine like terms: 5 + -8 = -3 -3 + 3x + -8x = 2x + 3 Combine like terms: 3x + -8x = -5x -3 + -5x = 2x + 3 Reorder the terms: -3 + -5x = 3 + 2x Solving -3 + -5x = 3 + 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. -3 + -5x + -2x = 3 + 2x + -2x Combine like terms: -5x + -2x = -7x -3 + -7x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + -7x = 3 + 0 -3 + -7x = 3 Add '3' to each side of the equation. -3 + 3 + -7x = 3 + 3 Combine like terms: -3 + 3 = 0 0 + -7x = 3 + 3 -7x = 3 + 3 Combine like terms: 3 + 3 = 6 -7x = 6 Divide each side by '-7'. x = -0.8571428571 Simplifying x = -0.8571428571
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