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Simplifying 5(x + 2.5) = -1.5(x + 3x) Reorder the terms: 5(2.5 + x) = -1.5(x + 3x) (2.5 * 5 + x * 5) = -1.5(x + 3x) (12.5 + 5x) = -1.5(x + 3x) Combine like terms: x + 3x = 4x 12.5 + 5x = -1.5(4x) Remove parenthesis around (4x) 12.5 + 5x = -1.5 * 4x Multiply -1.5 * 4 12.5 + 5x = -6x Solving 12.5 + 5x = -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 + 5x + 6x = -6x + 6x Combine like terms: 5x + 6x = 11x 12.5 + 11x = -6x + 6x Combine like terms: -6x + 6x = 0 12.5 + 11x = 0 Add '-12.5' to each side of the equation. 12.5 + -12.5 + 11x = 0 + -12.5 Combine like terms: 12.5 + -12.5 = 0.0 0.0 + 11x = 0 + -12.5 11x = 0 + -12.5 Combine like terms: 0 + -12.5 = -12.5 11x = -12.5 Divide each side by '11'. x = -1.136363636 Simplifying x = -1.136363636
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