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Simplifying 3(2x + -3) + -7x = 2 + -2(2 + x) Reorder the terms: 3(-3 + 2x) + -7x = 2 + -2(2 + x) (-3 * 3 + 2x * 3) + -7x = 2 + -2(2 + x) (-9 + 6x) + -7x = 2 + -2(2 + x) Combine like terms: 6x + -7x = -1x -9 + -1x = 2 + -2(2 + x) -9 + -1x = 2 + (2 * -2 + x * -2) -9 + -1x = 2 + (-4 + -2x) Combine like terms: 2 + -4 = -2 -9 + -1x = -2 + -2x Solving -9 + -1x = -2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -9 + -1x + 2x = -2 + -2x + 2x Combine like terms: -1x + 2x = 1x -9 + 1x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 -9 + 1x = -2 + 0 -9 + 1x = -2 Add '9' to each side of the equation. -9 + 9 + 1x = -2 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = -2 + 9 1x = -2 + 9 Combine like terms: -2 + 9 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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