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Simplifying 3(x + -3) = 7(x + -2) + -3 Reorder the terms: 3(-3 + x) = 7(x + -2) + -3 (-3 * 3 + x * 3) = 7(x + -2) + -3 (-9 + 3x) = 7(x + -2) + -3 Reorder the terms: -9 + 3x = 7(-2 + x) + -3 -9 + 3x = (-2 * 7 + x * 7) + -3 -9 + 3x = (-14 + 7x) + -3 Reorder the terms: -9 + 3x = -14 + -3 + 7x Combine like terms: -14 + -3 = -17 -9 + 3x = -17 + 7x Solving -9 + 3x = -17 + 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 + 3x + -7x = -17 + 7x + -7x Combine like terms: 3x + -7x = -4x -9 + -4x = -17 + 7x + -7x Combine like terms: 7x + -7x = 0 -9 + -4x = -17 + 0 -9 + -4x = -17 Add '9' to each side of the equation. -9 + 9 + -4x = -17 + 9 Combine like terms: -9 + 9 = 0 0 + -4x = -17 + 9 -4x = -17 + 9 Combine like terms: -17 + 9 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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