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Simplifying (-3x + 23) = 7(2x + -4) Reorder the terms: (23 + -3x) = 7(2x + -4) Remove parenthesis around (23 + -3x) 23 + -3x = 7(2x + -4) Reorder the terms: 23 + -3x = 7(-4 + 2x) 23 + -3x = (-4 * 7 + 2x * 7) 23 + -3x = (-28 + 14x) Solving 23 + -3x = -28 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 23 + -3x + -14x = -28 + 14x + -14x Combine like terms: -3x + -14x = -17x 23 + -17x = -28 + 14x + -14x Combine like terms: 14x + -14x = 0 23 + -17x = -28 + 0 23 + -17x = -28 Add '-23' to each side of the equation. 23 + -23 + -17x = -28 + -23 Combine like terms: 23 + -23 = 0 0 + -17x = -28 + -23 -17x = -28 + -23 Combine like terms: -28 + -23 = -51 -17x = -51 Divide each side by '-17'. x = 3 Simplifying x = 3
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