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Simplifying -4 + -1(3x + 2) + 4x = 5x + 12 Reorder the terms: -4 + -1(2 + 3x) + 4x = 5x + 12 -4 + (2 * -1 + 3x * -1) + 4x = 5x + 12 -4 + (-2 + -3x) + 4x = 5x + 12 Combine like terms: -4 + -2 = -6 -6 + -3x + 4x = 5x + 12 Combine like terms: -3x + 4x = 1x -6 + 1x = 5x + 12 Reorder the terms: -6 + 1x = 12 + 5x Solving -6 + 1x = 12 + 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. -6 + 1x + -5x = 12 + 5x + -5x Combine like terms: 1x + -5x = -4x -6 + -4x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -4x = 12 + 0 -6 + -4x = 12 Add '6' to each side of the equation. -6 + 6 + -4x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = 12 + 6 -4x = 12 + 6 Combine like terms: 12 + 6 = 18 -4x = 18 Divide each side by '-4'. x = -4.5 Simplifying x = -4.5
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