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Simplifying 4x + 6 + -3x + 62 = 12x + 4 + 6x + 81 Reorder the terms: 6 + 62 + 4x + -3x = 12x + 4 + 6x + 81 Combine like terms: 6 + 62 = 68 68 + 4x + -3x = 12x + 4 + 6x + 81 Combine like terms: 4x + -3x = 1x 68 + 1x = 12x + 4 + 6x + 81 Reorder the terms: 68 + 1x = 4 + 81 + 12x + 6x Combine like terms: 4 + 81 = 85 68 + 1x = 85 + 12x + 6x Combine like terms: 12x + 6x = 18x 68 + 1x = 85 + 18x Solving 68 + 1x = 85 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 68 + 1x + -18x = 85 + 18x + -18x Combine like terms: 1x + -18x = -17x 68 + -17x = 85 + 18x + -18x Combine like terms: 18x + -18x = 0 68 + -17x = 85 + 0 68 + -17x = 85 Add '-68' to each side of the equation. 68 + -68 + -17x = 85 + -68 Combine like terms: 68 + -68 = 0 0 + -17x = 85 + -68 -17x = 85 + -68 Combine like terms: 85 + -68 = 17 -17x = 17 Divide each side by '-17'. x = -1 Simplifying x = -1
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