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Simplifying 3(2x + -3) = 7(x + -2) Reorder the terms: 3(-3 + 2x) = 7(x + -2) (-3 * 3 + 2x * 3) = 7(x + -2) (-9 + 6x) = 7(x + -2) Reorder the terms: -9 + 6x = 7(-2 + x) -9 + 6x = (-2 * 7 + x * 7) -9 + 6x = (-14 + 7x) Solving -9 + 6x = -14 + 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 + 6x + -7x = -14 + 7x + -7x Combine like terms: 6x + -7x = -1x -9 + -1x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 -9 + -1x = -14 + 0 -9 + -1x = -14 Add '9' to each side of the equation. -9 + 9 + -1x = -14 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = -14 + 9 -1x = -14 + 9 Combine like terms: -14 + 9 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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