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Simplifying 5(x + 5.0) = -1.5(x + -3x) Reorder the terms: 5(5.0 + x) = -1.5(x + -3x) (5.0 * 5 + x * 5) = -1.5(x + -3x) (25 + 5x) = -1.5(x + -3x) Combine like terms: x + -3x = -2x 25 + 5x = -1.5(-2x) Remove parenthesis around (-2x) 25 + 5x = -1.5 * -2x Multiply -1.5 * -2 25 + 5x = 3x Solving 25 + 5x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 25 + 5x + -3x = 3x + -3x Combine like terms: 5x + -3x = 2x 25 + 2x = 3x + -3x Combine like terms: 3x + -3x = 0 25 + 2x = 0 Add '-25' to each side of the equation. 25 + -25 + 2x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 2x = 0 + -25 2x = 0 + -25 Combine like terms: 0 + -25 = -25 2x = -25 Divide each side by '2'. x = -12.5 Simplifying x = -12.5
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