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Simplifying -2x + 10 + -4x + 2 = 4x + 3 + x + -13 Reorder the terms: 10 + 2 + -2x + -4x = 4x + 3 + x + -13 Combine like terms: 10 + 2 = 12 12 + -2x + -4x = 4x + 3 + x + -13 Combine like terms: -2x + -4x = -6x 12 + -6x = 4x + 3 + x + -13 Reorder the terms: 12 + -6x = 3 + -13 + 4x + x Combine like terms: 3 + -13 = -10 12 + -6x = -10 + 4x + x Combine like terms: 4x + x = 5x 12 + -6x = -10 + 5x Solving 12 + -6x = -10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + -6x + -5x = -10 + 5x + -5x Combine like terms: -6x + -5x = -11x 12 + -11x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -11x = -10 + 0 12 + -11x = -10 Add '-12' to each side of the equation. 12 + -12 + -11x = -10 + -12 Combine like terms: 12 + -12 = 0 0 + -11x = -10 + -12 -11x = -10 + -12 Combine like terms: -10 + -12 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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