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Simplifying 2x + -8 + 66 = 12x + 9 + -6x + 10 Reorder the terms: -8 + 66 + 2x = 12x + 9 + -6x + 10 Combine like terms: -8 + 66 = 58 58 + 2x = 12x + 9 + -6x + 10 Reorder the terms: 58 + 2x = 9 + 10 + 12x + -6x Combine like terms: 9 + 10 = 19 58 + 2x = 19 + 12x + -6x Combine like terms: 12x + -6x = 6x 58 + 2x = 19 + 6x Solving 58 + 2x = 19 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 58 + 2x + -6x = 19 + 6x + -6x Combine like terms: 2x + -6x = -4x 58 + -4x = 19 + 6x + -6x Combine like terms: 6x + -6x = 0 58 + -4x = 19 + 0 58 + -4x = 19 Add '-58' to each side of the equation. 58 + -58 + -4x = 19 + -58 Combine like terms: 58 + -58 = 0 0 + -4x = 19 + -58 -4x = 19 + -58 Combine like terms: 19 + -58 = -39 -4x = -39 Divide each side by '-4'. x = 9.75 Simplifying x = 9.75
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