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Simplifying 3x + 8 + -5(x + 1) = 2x + 6 Reorder the terms: 3x + 8 + -5(1 + x) = 2x + 6 3x + 8 + (1 * -5 + x * -5) = 2x + 6 3x + 8 + (-5 + -5x) = 2x + 6 Reorder the terms: 8 + -5 + 3x + -5x = 2x + 6 Combine like terms: 8 + -5 = 3 3 + 3x + -5x = 2x + 6 Combine like terms: 3x + -5x = -2x 3 + -2x = 2x + 6 Reorder the terms: 3 + -2x = 6 + 2x Solving 3 + -2x = 6 + 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 + -2x + -2x = 6 + 2x + -2x Combine like terms: -2x + -2x = -4x 3 + -4x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + -4x = 6 + 0 3 + -4x = 6 Add '-3' to each side of the equation. 3 + -3 + -4x = 6 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 6 + -3 -4x = 6 + -3 Combine like terms: 6 + -3 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75
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