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Simplifying 6x + 23 = 12x + -40 Reorder the terms: 23 + 6x = 12x + -40 Reorder the terms: 23 + 6x = -40 + 12x Solving 23 + 6x = -40 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 23 + 6x + -12x = -40 + 12x + -12x Combine like terms: 6x + -12x = -6x 23 + -6x = -40 + 12x + -12x Combine like terms: 12x + -12x = 0 23 + -6x = -40 + 0 23 + -6x = -40 Add '-23' to each side of the equation. 23 + -23 + -6x = -40 + -23 Combine like terms: 23 + -23 = 0 0 + -6x = -40 + -23 -6x = -40 + -23 Combine like terms: -40 + -23 = -63 -6x = -63 Divide each side by '-6'. x = 10.5 Simplifying x = 10.5
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