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Simplifying 10x + 3 = 12x + -13 Reorder the terms: 3 + 10x = 12x + -13 Reorder the terms: 3 + 10x = -13 + 12x Solving 3 + 10x = -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. 3 + 10x + -12x = -13 + 12x + -12x Combine like terms: 10x + -12x = -2x 3 + -2x = -13 + 12x + -12x Combine like terms: 12x + -12x = 0 3 + -2x = -13 + 0 3 + -2x = -13 Add '-3' to each side of the equation. 3 + -3 + -2x = -13 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = -13 + -3 -2x = -13 + -3 Combine like terms: -13 + -3 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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