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Simplifying 5(0.2x + 5) = 2(3.5x + -3) Reorder the terms: 5(5 + 0.2x) = 2(3.5x + -3) (5 * 5 + 0.2x * 5) = 2(3.5x + -3) (25 + 1x) = 2(3.5x + -3) Reorder the terms: 25 + 1x = 2(-3 + 3.5x) 25 + 1x = (-3 * 2 + 3.5x * 2) 25 + 1x = (-6 + 7x) Solving 25 + 1x = -6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 25 + 1x + -7x = -6 + 7x + -7x Combine like terms: 1x + -7x = -6x 25 + -6x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 25 + -6x = -6 + 0 25 + -6x = -6 Add '-25' to each side of the equation. 25 + -25 + -6x = -6 + -25 Combine like terms: 25 + -25 = 0 0 + -6x = -6 + -25 -6x = -6 + -25 Combine like terms: -6 + -25 = -31 -6x = -31 Divide each side by '-6'. x = 5.166666667 Simplifying x = 5.166666667
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