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Simplifying 12x + -2x + 10 = 6x + 2 + 5 Reorder the terms: 10 + 12x + -2x = 6x + 2 + 5 Combine like terms: 12x + -2x = 10x 10 + 10x = 6x + 2 + 5 Reorder the terms: 10 + 10x = 2 + 5 + 6x Combine like terms: 2 + 5 = 7 10 + 10x = 7 + 6x Solving 10 + 10x = 7 + 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. 10 + 10x + -6x = 7 + 6x + -6x Combine like terms: 10x + -6x = 4x 10 + 4x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + 4x = 7 + 0 10 + 4x = 7 Add '-10' to each side of the equation. 10 + -10 + 4x = 7 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = 7 + -10 4x = 7 + -10 Combine like terms: 7 + -10 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75
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