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Simplifying 6x + x + 10 = 18 + 4x + -12 Reorder the terms: 10 + 6x + x = 18 + 4x + -12 Combine like terms: 6x + x = 7x 10 + 7x = 18 + 4x + -12 Reorder the terms: 10 + 7x = 18 + -12 + 4x Combine like terms: 18 + -12 = 6 10 + 7x = 6 + 4x Solving 10 + 7x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 10 + 7x + -4x = 6 + 4x + -4x Combine like terms: 7x + -4x = 3x 10 + 3x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + 3x = 6 + 0 10 + 3x = 6 Add '-10' to each side of the equation. 10 + -10 + 3x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 6 + -10 3x = 6 + -10 Combine like terms: 6 + -10 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333
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