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Simplifying 23 + -12x = -1(7 + 2x) 23 + -12x = (7 * -1 + 2x * -1) 23 + -12x = (-7 + -2x) Solving 23 + -12x = -7 + -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. 23 + -12x + 2x = -7 + -2x + 2x Combine like terms: -12x + 2x = -10x 23 + -10x = -7 + -2x + 2x Combine like terms: -2x + 2x = 0 23 + -10x = -7 + 0 23 + -10x = -7 Add '-23' to each side of the equation. 23 + -23 + -10x = -7 + -23 Combine like terms: 23 + -23 = 0 0 + -10x = -7 + -23 -10x = -7 + -23 Combine like terms: -7 + -23 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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