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