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Simplifying -2x + 23 = 2 + -7(3x + -3) Reorder the terms: 23 + -2x = 2 + -7(3x + -3) Reorder the terms: 23 + -2x = 2 + -7(-3 + 3x) 23 + -2x = 2 + (-3 * -7 + 3x * -7) 23 + -2x = 2 + (21 + -21x) Combine like terms: 2 + 21 = 23 23 + -2x = 23 + -21x Add '-23' to each side of the equation. 23 + -23 + -2x = 23 + -23 + -21x Combine like terms: 23 + -23 = 0 0 + -2x = 23 + -23 + -21x -2x = 23 + -23 + -21x Combine like terms: 23 + -23 = 0 -2x = 0 + -21x -2x = -21x Solving -2x = -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -2x + 21x = -21x + 21x Combine like terms: -2x + 21x = 19x 19x = -21x + 21x Combine like terms: -21x + 21x = 0 19x = 0 Divide each side by '19'. x = 0 Simplifying x = 0
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