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Simplifying 12x + -23(12x + -4) = 3x + 5(4x + -2) Reorder the terms: 12x + -23(-4 + 12x) = 3x + 5(4x + -2) 12x + (-4 * -23 + 12x * -23) = 3x + 5(4x + -2) 12x + (92 + -276x) = 3x + 5(4x + -2) Reorder the terms: 92 + 12x + -276x = 3x + 5(4x + -2) Combine like terms: 12x + -276x = -264x 92 + -264x = 3x + 5(4x + -2) Reorder the terms: 92 + -264x = 3x + 5(-2 + 4x) 92 + -264x = 3x + (-2 * 5 + 4x * 5) 92 + -264x = 3x + (-10 + 20x) Reorder the terms: 92 + -264x = -10 + 3x + 20x Combine like terms: 3x + 20x = 23x 92 + -264x = -10 + 23x Solving 92 + -264x = -10 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. 92 + -264x + -23x = -10 + 23x + -23x Combine like terms: -264x + -23x = -287x 92 + -287x = -10 + 23x + -23x Combine like terms: 23x + -23x = 0 92 + -287x = -10 + 0 92 + -287x = -10 Add '-92' to each side of the equation. 92 + -92 + -287x = -10 + -92 Combine like terms: 92 + -92 = 0 0 + -287x = -10 + -92 -287x = -10 + -92 Combine like terms: -10 + -92 = -102 -287x = -102 Divide each side by '-287'. x = 0.3554006969 Simplifying x = 0.3554006969
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