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Simplifying 2x + 8 + -4(x + 1) = 3x + 6 Reorder the terms: 2x + 8 + -4(1 + x) = 3x + 6 2x + 8 + (1 * -4 + x * -4) = 3x + 6 2x + 8 + (-4 + -4x) = 3x + 6 Reorder the terms: 8 + -4 + 2x + -4x = 3x + 6 Combine like terms: 8 + -4 = 4 4 + 2x + -4x = 3x + 6 Combine like terms: 2x + -4x = -2x 4 + -2x = 3x + 6 Reorder the terms: 4 + -2x = 6 + 3x Solving 4 + -2x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + -2x + -3x = 6 + 3x + -3x Combine like terms: -2x + -3x = -5x 4 + -5x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -5x = 6 + 0 4 + -5x = 6 Add '-4' to each side of the equation. 4 + -4 + -5x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 6 + -4 -5x = 6 + -4 Combine like terms: 6 + -4 = 2 -5x = 2 Divide each side by '-5'. x = -0.4 Simplifying x = -0.4
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