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Simplifying 12 + 7x = 3(24x + 18) + -1x Reorder the terms: 12 + 7x = 3(18 + 24x) + -1x 12 + 7x = (18 * 3 + 24x * 3) + -1x 12 + 7x = (54 + 72x) + -1x Combine like terms: 72x + -1x = 71x 12 + 7x = 54 + 71x Solving 12 + 7x = 54 + 71x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-71x' to each side of the equation. 12 + 7x + -71x = 54 + 71x + -71x Combine like terms: 7x + -71x = -64x 12 + -64x = 54 + 71x + -71x Combine like terms: 71x + -71x = 0 12 + -64x = 54 + 0 12 + -64x = 54 Add '-12' to each side of the equation. 12 + -12 + -64x = 54 + -12 Combine like terms: 12 + -12 = 0 0 + -64x = 54 + -12 -64x = 54 + -12 Combine like terms: 54 + -12 = 42 -64x = 42 Divide each side by '-64'. x = -0.65625 Simplifying x = -0.65625
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