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Simplifying 6(2x + 45) + -23(2x + -27) = 12 Reorder the terms: 6(45 + 2x) + -23(2x + -27) = 12 (45 * 6 + 2x * 6) + -23(2x + -27) = 12 (270 + 12x) + -23(2x + -27) = 12 Reorder the terms: 270 + 12x + -23(-27 + 2x) = 12 270 + 12x + (-27 * -23 + 2x * -23) = 12 270 + 12x + (621 + -46x) = 12 Reorder the terms: 270 + 621 + 12x + -46x = 12 Combine like terms: 270 + 621 = 891 891 + 12x + -46x = 12 Combine like terms: 12x + -46x = -34x 891 + -34x = 12 Solving 891 + -34x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-891' to each side of the equation. 891 + -891 + -34x = 12 + -891 Combine like terms: 891 + -891 = 0 0 + -34x = 12 + -891 -34x = 12 + -891 Combine like terms: 12 + -891 = -879 -34x = -879 Divide each side by '-34'. x = 25.85294118 Simplifying x = 25.85294118
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