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Simplifying 2.5x + 6.52 = 4.65x + 1.12 Reorder the terms: 6.52 + 2.5x = 4.65x + 1.12 Reorder the terms: 6.52 + 2.5x = 1.12 + 4.65x Solving 6.52 + 2.5x = 1.12 + 4.65x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.65x' to each side of the equation. 6.52 + 2.5x + -4.65x = 1.12 + 4.65x + -4.65x Combine like terms: 2.5x + -4.65x = -2.15x 6.52 + -2.15x = 1.12 + 4.65x + -4.65x Combine like terms: 4.65x + -4.65x = 0.00 6.52 + -2.15x = 1.12 + 0.00 6.52 + -2.15x = 1.12 Add '-6.52' to each side of the equation. 6.52 + -6.52 + -2.15x = 1.12 + -6.52 Combine like terms: 6.52 + -6.52 = 0.00 0.00 + -2.15x = 1.12 + -6.52 -2.15x = 1.12 + -6.52 Combine like terms: 1.12 + -6.52 = -5.4 -2.15x = -5.4 Divide each side by '-2.15'. x = 2.511627907 Simplifying x = 2.511627907
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