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Simplifying -3(x + 12) + -4 = 2x + 6 Reorder the terms: -3(12 + x) + -4 = 2x + 6 (12 * -3 + x * -3) + -4 = 2x + 6 (-36 + -3x) + -4 = 2x + 6 Reorder the terms: -36 + -4 + -3x = 2x + 6 Combine like terms: -36 + -4 = -40 -40 + -3x = 2x + 6 Reorder the terms: -40 + -3x = 6 + 2x Solving -40 + -3x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -40 + -3x + -2x = 6 + 2x + -2x Combine like terms: -3x + -2x = -5x -40 + -5x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -40 + -5x = 6 + 0 -40 + -5x = 6 Add '40' to each side of the equation. -40 + 40 + -5x = 6 + 40 Combine like terms: -40 + 40 = 0 0 + -5x = 6 + 40 -5x = 6 + 40 Combine like terms: 6 + 40 = 46 -5x = 46 Divide each side by '-5'. x = -9.2 Simplifying x = -9.2
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