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Simplifying 6 + -2(x + 6) = 3x + 4 Reorder the terms: 6 + -2(6 + x) = 3x + 4 6 + (6 * -2 + x * -2) = 3x + 4 6 + (-12 + -2x) = 3x + 4 Combine like terms: 6 + -12 = -6 -6 + -2x = 3x + 4 Reorder the terms: -6 + -2x = 4 + 3x Solving -6 + -2x = 4 + 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. -6 + -2x + -3x = 4 + 3x + -3x Combine like terms: -2x + -3x = -5x -6 + -5x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -5x = 4 + 0 -6 + -5x = 4 Add '6' to each side of the equation. -6 + 6 + -5x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 4 + 6 -5x = 4 + 6 Combine like terms: 4 + 6 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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