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Simplifying 3x + -2(x + 6) = 5x + -4 Reorder the terms: 3x + -2(6 + x) = 5x + -4 3x + (6 * -2 + x * -2) = 5x + -4 3x + (-12 + -2x) = 5x + -4 Reorder the terms: -12 + 3x + -2x = 5x + -4 Combine like terms: 3x + -2x = 1x -12 + 1x = 5x + -4 Reorder the terms: -12 + 1x = -4 + 5x Solving -12 + 1x = -4 + 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. -12 + 1x + -5x = -4 + 5x + -5x Combine like terms: 1x + -5x = -4x -12 + -4x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -4x = -4 + 0 -12 + -4x = -4 Add '12' to each side of the equation. -12 + 12 + -4x = -4 + 12 Combine like terms: -12 + 12 = 0 0 + -4x = -4 + 12 -4x = -4 + 12 Combine like terms: -4 + 12 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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