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Simplifying 0.7x + 2.54 = -0.9x + 8.54 Reorder the terms: 2.54 + 0.7x = -0.9x + 8.54 Reorder the terms: 2.54 + 0.7x = 8.54 + -0.9x Solving 2.54 + 0.7x = 8.54 + -0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.9x' to each side of the equation. 2.54 + 0.7x + 0.9x = 8.54 + -0.9x + 0.9x Combine like terms: 0.7x + 0.9x = 1.6x 2.54 + 1.6x = 8.54 + -0.9x + 0.9x Combine like terms: -0.9x + 0.9x = 0.0 2.54 + 1.6x = 8.54 + 0.0 2.54 + 1.6x = 8.54 Add '-2.54' to each side of the equation. 2.54 + -2.54 + 1.6x = 8.54 + -2.54 Combine like terms: 2.54 + -2.54 = 0.00 0.00 + 1.6x = 8.54 + -2.54 1.6x = 8.54 + -2.54 Combine like terms: 8.54 + -2.54 = 6 1.6x = 6 Divide each side by '1.6'. x = 3.75 Simplifying x = 3.75
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