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Simplifying -2x + 13 = 3 + 4x + -8 Reorder the terms: 13 + -2x = 3 + 4x + -8 Reorder the terms: 13 + -2x = 3 + -8 + 4x Combine like terms: 3 + -8 = -5 13 + -2x = -5 + 4x Solving 13 + -2x = -5 + 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. 13 + -2x + -4x = -5 + 4x + -4x Combine like terms: -2x + -4x = -6x 13 + -6x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 13 + -6x = -5 + 0 13 + -6x = -5 Add '-13' to each side of the equation. 13 + -13 + -6x = -5 + -13 Combine like terms: 13 + -13 = 0 0 + -6x = -5 + -13 -6x = -5 + -13 Combine like terms: -5 + -13 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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