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Simplifying 3(x + -7) + 2 = 12x + -3 Reorder the terms: 3(-7 + x) + 2 = 12x + -3 (-7 * 3 + x * 3) + 2 = 12x + -3 (-21 + 3x) + 2 = 12x + -3 Reorder the terms: -21 + 2 + 3x = 12x + -3 Combine like terms: -21 + 2 = -19 -19 + 3x = 12x + -3 Reorder the terms: -19 + 3x = -3 + 12x Solving -19 + 3x = -3 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -19 + 3x + -12x = -3 + 12x + -12x Combine like terms: 3x + -12x = -9x -19 + -9x = -3 + 12x + -12x Combine like terms: 12x + -12x = 0 -19 + -9x = -3 + 0 -19 + -9x = -3 Add '19' to each side of the equation. -19 + 19 + -9x = -3 + 19 Combine like terms: -19 + 19 = 0 0 + -9x = -3 + 19 -9x = -3 + 19 Combine like terms: -3 + 19 = 16 -9x = 16 Divide each side by '-9'. x = -1.777777778 Simplifying x = -1.777777778
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