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Simplifying 3(4x + -3) = 7(x + -3) + -2 Reorder the terms: 3(-3 + 4x) = 7(x + -3) + -2 (-3 * 3 + 4x * 3) = 7(x + -3) + -2 (-9 + 12x) = 7(x + -3) + -2 Reorder the terms: -9 + 12x = 7(-3 + x) + -2 -9 + 12x = (-3 * 7 + x * 7) + -2 -9 + 12x = (-21 + 7x) + -2 Reorder the terms: -9 + 12x = -21 + -2 + 7x Combine like terms: -21 + -2 = -23 -9 + 12x = -23 + 7x Solving -9 + 12x = -23 + 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. -9 + 12x + -7x = -23 + 7x + -7x Combine like terms: 12x + -7x = 5x -9 + 5x = -23 + 7x + -7x Combine like terms: 7x + -7x = 0 -9 + 5x = -23 + 0 -9 + 5x = -23 Add '9' to each side of the equation. -9 + 9 + 5x = -23 + 9 Combine like terms: -9 + 9 = 0 0 + 5x = -23 + 9 5x = -23 + 9 Combine like terms: -23 + 9 = -14 5x = -14 Divide each side by '5'. x = -2.8 Simplifying x = -2.8
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