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Simplifying 22.5 + -3.5x = 2(7.5x + -2.5) Reorder the terms: 22.5 + -3.5x = 2(-2.5 + 7.5x) 22.5 + -3.5x = (-2.5 * 2 + 7.5x * 2) 22.5 + -3.5x = (-5 + 15x) Solving 22.5 + -3.5x = -5 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 22.5 + -3.5x + -15x = -5 + 15x + -15x Combine like terms: -3.5x + -15x = -18.5x 22.5 + -18.5x = -5 + 15x + -15x Combine like terms: 15x + -15x = 0 22.5 + -18.5x = -5 + 0 22.5 + -18.5x = -5 Add '-22.5' to each side of the equation. 22.5 + -22.5 + -18.5x = -5 + -22.5 Combine like terms: 22.5 + -22.5 = 0.0 0.0 + -18.5x = -5 + -22.5 -18.5x = -5 + -22.5 Combine like terms: -5 + -22.5 = -27.5 -18.5x = -27.5 Divide each side by '-18.5'. x = 1.486486486 Simplifying x = 1.486486486
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