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Simplifying 4x + 8 + -6(x + 1) = 3x + 5 Reorder the terms: 4x + 8 + -6(1 + x) = 3x + 5 4x + 8 + (1 * -6 + x * -6) = 3x + 5 4x + 8 + (-6 + -6x) = 3x + 5 Reorder the terms: 8 + -6 + 4x + -6x = 3x + 5 Combine like terms: 8 + -6 = 2 2 + 4x + -6x = 3x + 5 Combine like terms: 4x + -6x = -2x 2 + -2x = 3x + 5 Reorder the terms: 2 + -2x = 5 + 3x Solving 2 + -2x = 5 + 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. 2 + -2x + -3x = 5 + 3x + -3x Combine like terms: -2x + -3x = -5x 2 + -5x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + -5x = 5 + 0 2 + -5x = 5 Add '-2' to each side of the equation. 2 + -2 + -5x = 5 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 5 + -2 -5x = 5 + -2 Combine like terms: 5 + -2 = 3 -5x = 3 Divide each side by '-5'. x = -0.6 Simplifying x = -0.6
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