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Simplifying 6x + -4 + 5 = 12x + 3 + 10 Reorder the terms: -4 + 5 + 6x = 12x + 3 + 10 Combine like terms: -4 + 5 = 1 1 + 6x = 12x + 3 + 10 Reorder the terms: 1 + 6x = 3 + 10 + 12x Combine like terms: 3 + 10 = 13 1 + 6x = 13 + 12x Solving 1 + 6x = 13 + 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. 1 + 6x + -12x = 13 + 12x + -12x Combine like terms: 6x + -12x = -6x 1 + -6x = 13 + 12x + -12x Combine like terms: 12x + -12x = 0 1 + -6x = 13 + 0 1 + -6x = 13 Add '-1' to each side of the equation. 1 + -1 + -6x = 13 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 13 + -1 -6x = 13 + -1 Combine like terms: 13 + -1 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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