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Simplifying 3x + -2(x + 2) = 5x + -6 Reorder the terms: 3x + -2(2 + x) = 5x + -6 3x + (2 * -2 + x * -2) = 5x + -6 3x + (-4 + -2x) = 5x + -6 Reorder the terms: -4 + 3x + -2x = 5x + -6 Combine like terms: 3x + -2x = 1x -4 + 1x = 5x + -6 Reorder the terms: -4 + 1x = -6 + 5x Solving -4 + 1x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 1x + -5x = -6 + 5x + -5x Combine like terms: 1x + -5x = -4x -4 + -4x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -4x = -6 + 0 -4 + -4x = -6 Add '4' to each side of the equation. -4 + 4 + -4x = -6 + 4 Combine like terms: -4 + 4 = 0 0 + -4x = -6 + 4 -4x = -6 + 4 Combine like terms: -6 + 4 = -2 -4x = -2 Divide each side by '-4'. x = 0.5 Simplifying x = 0.5
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