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Simplifying 5x + 7 = 13x + 5 Reorder the terms: 7 + 5x = 13x + 5 Reorder the terms: 7 + 5x = 5 + 13x Solving 7 + 5x = 5 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 7 + 5x + -13x = 5 + 13x + -13x Combine like terms: 5x + -13x = -8x 7 + -8x = 5 + 13x + -13x Combine like terms: 13x + -13x = 0 7 + -8x = 5 + 0 7 + -8x = 5 Add '-7' to each side of the equation. 7 + -7 + -8x = 5 + -7 Combine like terms: 7 + -7 = 0 0 + -8x = 5 + -7 -8x = 5 + -7 Combine like terms: 5 + -7 = -2 -8x = -2 Divide each side by '-8'. x = 0.25 Simplifying x = 0.25
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