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Simplifying 3.5x + -12.5 = 0.6(10x + 2) + 5.05 Reorder the terms: -12.5 + 3.5x = 0.6(10x + 2) + 5.05 Reorder the terms: -12.5 + 3.5x = 0.6(2 + 10x) + 5.05 -12.5 + 3.5x = (2 * 0.6 + 10x * 0.6) + 5.05 -12.5 + 3.5x = (1.2 + 6x) + 5.05 Reorder the terms: -12.5 + 3.5x = 1.2 + 5.05 + 6x Combine like terms: 1.2 + 5.05 = 6.25 -12.5 + 3.5x = 6.25 + 6x Solving -12.5 + 3.5x = 6.25 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12.5 + 3.5x + -6x = 6.25 + 6x + -6x Combine like terms: 3.5x + -6x = -2.5x -12.5 + -2.5x = 6.25 + 6x + -6x Combine like terms: 6x + -6x = 0 -12.5 + -2.5x = 6.25 + 0 -12.5 + -2.5x = 6.25 Add '12.5' to each side of the equation. -12.5 + 12.5 + -2.5x = 6.25 + 12.5 Combine like terms: -12.5 + 12.5 = 0.0 0.0 + -2.5x = 6.25 + 12.5 -2.5x = 6.25 + 12.5 Combine like terms: 6.25 + 12.5 = 18.75 -2.5x = 18.75 Divide each side by '-2.5'. x = -7.5 Simplifying x = -7.5
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