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Simplifying 12.5x + 7.5 = 13x + 4 Reorder the terms: 7.5 + 12.5x = 13x + 4 Reorder the terms: 7.5 + 12.5x = 4 + 13x Solving 7.5 + 12.5x = 4 + 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. 7.5 + 12.5x + -13x = 4 + 13x + -13x Combine like terms: 12.5x + -13x = -0.5x 7.5 + -0.5x = 4 + 13x + -13x Combine like terms: 13x + -13x = 0 7.5 + -0.5x = 4 + 0 7.5 + -0.5x = 4 Add '-7.5' to each side of the equation. 7.5 + -7.5 + -0.5x = 4 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -0.5x = 4 + -7.5 -0.5x = 4 + -7.5 Combine like terms: 4 + -7.5 = -3.5 -0.5x = -3.5 Divide each side by '-0.5'. x = 7 Simplifying x = 7
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