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Simplifying 3(x + -9) + -12 = 3x + 4x + 46 Reorder the terms: 3(-9 + x) + -12 = 3x + 4x + 46 (-9 * 3 + x * 3) + -12 = 3x + 4x + 46 (-27 + 3x) + -12 = 3x + 4x + 46 Reorder the terms: -27 + -12 + 3x = 3x + 4x + 46 Combine like terms: -27 + -12 = -39 -39 + 3x = 3x + 4x + 46 Reorder the terms: -39 + 3x = 46 + 3x + 4x Combine like terms: 3x + 4x = 7x -39 + 3x = 46 + 7x Solving -39 + 3x = 46 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -39 + 3x + -7x = 46 + 7x + -7x Combine like terms: 3x + -7x = -4x -39 + -4x = 46 + 7x + -7x Combine like terms: 7x + -7x = 0 -39 + -4x = 46 + 0 -39 + -4x = 46 Add '39' to each side of the equation. -39 + 39 + -4x = 46 + 39 Combine like terms: -39 + 39 = 0 0 + -4x = 46 + 39 -4x = 46 + 39 Combine like terms: 46 + 39 = 85 -4x = 85 Divide each side by '-4'. x = -21.25 Simplifying x = -21.25
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