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Simplifying (2x + -3) + 3 = 7(x + -3) + -2x Reorder the terms: (-3 + 2x) + 3 = 7(x + -3) + -2x Remove parenthesis around (-3 + 2x) -3 + 2x + 3 = 7(x + -3) + -2x Reorder the terms: -3 + 3 + 2x = 7(x + -3) + -2x Combine like terms: -3 + 3 = 0 0 + 2x = 7(x + -3) + -2x 2x = 7(x + -3) + -2x Reorder the terms: 2x = 7(-3 + x) + -2x 2x = (-3 * 7 + x * 7) + -2x 2x = (-21 + 7x) + -2x Combine like terms: 7x + -2x = 5x 2x = -21 + 5x Solving 2x = -21 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2x + -5x = -21 + 5x + -5x Combine like terms: 2x + -5x = -3x -3x = -21 + 5x + -5x Combine like terms: 5x + -5x = 0 -3x = -21 + 0 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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