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Simplifying 0.2(x + 15) = 0.5(3x + -7) Reorder the terms: 0.2(15 + x) = 0.5(3x + -7) (15 * 0.2 + x * 0.2) = 0.5(3x + -7) (3 + 0.2x) = 0.5(3x + -7) Reorder the terms: 3 + 0.2x = 0.5(-7 + 3x) 3 + 0.2x = (-7 * 0.5 + 3x * 0.5) 3 + 0.2x = (-3.5 + 1.5x) Solving 3 + 0.2x = -3.5 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 3 + 0.2x + -1.5x = -3.5 + 1.5x + -1.5x Combine like terms: 0.2x + -1.5x = -1.3x 3 + -1.3x = -3.5 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 3 + -1.3x = -3.5 + 0.0 3 + -1.3x = -3.5 Add '-3' to each side of the equation. 3 + -3 + -1.3x = -3.5 + -3 Combine like terms: 3 + -3 = 0 0 + -1.3x = -3.5 + -3 -1.3x = -3.5 + -3 Combine like terms: -3.5 + -3 = -6.5 -1.3x = -6.5 Divide each side by '-1.3'. x = 5 Simplifying x = 5
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