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Simplifying 6 + -2(x + 12) = 3x + 4 Reorder the terms: 6 + -2(12 + x) = 3x + 4 6 + (12 * -2 + x * -2) = 3x + 4 6 + (-24 + -2x) = 3x + 4 Combine like terms: 6 + -24 = -18 -18 + -2x = 3x + 4 Reorder the terms: -18 + -2x = 4 + 3x Solving -18 + -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. -18 + -2x + -3x = 4 + 3x + -3x Combine like terms: -2x + -3x = -5x -18 + -5x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + -5x = 4 + 0 -18 + -5x = 4 Add '18' to each side of the equation. -18 + 18 + -5x = 4 + 18 Combine like terms: -18 + 18 = 0 0 + -5x = 4 + 18 -5x = 4 + 18 Combine like terms: 4 + 18 = 22 -5x = 22 Divide each side by '-5'. x = -4.4 Simplifying x = -4.4
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