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Simplifying 6x + 13 = 2x + 5 Reorder the terms: 13 + 6x = 2x + 5 Reorder the terms: 13 + 6x = 5 + 2x Solving 13 + 6x = 5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 13 + 6x + -2x = 5 + 2x + -2x Combine like terms: 6x + -2x = 4x 13 + 4x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + 4x = 5 + 0 13 + 4x = 5 Add '-13' to each side of the equation. 13 + -13 + 4x = 5 + -13 Combine like terms: 13 + -13 = 0 0 + 4x = 5 + -13 4x = 5 + -13 Combine like terms: 5 + -13 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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