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Simplifying 8 + -6x + -2 = -21 + 4x + -13 Reorder the terms: 8 + -2 + -6x = -21 + 4x + -13 Combine like terms: 8 + -2 = 6 6 + -6x = -21 + 4x + -13 Reorder the terms: 6 + -6x = -21 + -13 + 4x Combine like terms: -21 + -13 = -34 6 + -6x = -34 + 4x Solving 6 + -6x = -34 + 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. 6 + -6x + -4x = -34 + 4x + -4x Combine like terms: -6x + -4x = -10x 6 + -10x = -34 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -10x = -34 + 0 6 + -10x = -34 Add '-6' to each side of the equation. 6 + -6 + -10x = -34 + -6 Combine like terms: 6 + -6 = 0 0 + -10x = -34 + -6 -10x = -34 + -6 Combine like terms: -34 + -6 = -40 -10x = -40 Divide each side by '-10'. x = 4 Simplifying x = 4
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