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Simplifying 7x + 5 + -1x = 12x + -10 + 24 Reorder the terms: 5 + 7x + -1x = 12x + -10 + 24 Combine like terms: 7x + -1x = 6x 5 + 6x = 12x + -10 + 24 Reorder the terms: 5 + 6x = -10 + 24 + 12x Combine like terms: -10 + 24 = 14 5 + 6x = 14 + 12x Solving 5 + 6x = 14 + 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. 5 + 6x + -12x = 14 + 12x + -12x Combine like terms: 6x + -12x = -6x 5 + -6x = 14 + 12x + -12x Combine like terms: 12x + -12x = 0 5 + -6x = 14 + 0 5 + -6x = 14 Add '-5' to each side of the equation. 5 + -5 + -6x = 14 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = 14 + -5 -6x = 14 + -5 Combine like terms: 14 + -5 = 9 -6x = 9 Divide each side by '-6'. x = -1.5 Simplifying x = -1.5
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