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Simplifying 23 + -2x = 3(x + -4) Reorder the terms: 23 + -2x = 3(-4 + x) 23 + -2x = (-4 * 3 + x * 3) 23 + -2x = (-12 + 3x) Solving 23 + -2x = -12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 23 + -2x + -3x = -12 + 3x + -3x Combine like terms: -2x + -3x = -5x 23 + -5x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 23 + -5x = -12 + 0 23 + -5x = -12 Add '-23' to each side of the equation. 23 + -23 + -5x = -12 + -23 Combine like terms: 23 + -23 = 0 0 + -5x = -12 + -23 -5x = -12 + -23 Combine like terms: -12 + -23 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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