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Simplifying 2.5(15x + -20) = 3(3x + -4) Reorder the terms: 2.5(-20 + 15x) = 3(3x + -4) (-20 * 2.5 + 15x * 2.5) = 3(3x + -4) (-50 + 37.5x) = 3(3x + -4) Reorder the terms: -50 + 37.5x = 3(-4 + 3x) -50 + 37.5x = (-4 * 3 + 3x * 3) -50 + 37.5x = (-12 + 9x) Solving -50 + 37.5x = -12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -50 + 37.5x + -9x = -12 + 9x + -9x Combine like terms: 37.5x + -9x = 28.5x -50 + 28.5x = -12 + 9x + -9x Combine like terms: 9x + -9x = 0 -50 + 28.5x = -12 + 0 -50 + 28.5x = -12 Add '50' to each side of the equation. -50 + 50 + 28.5x = -12 + 50 Combine like terms: -50 + 50 = 0 0 + 28.5x = -12 + 50 28.5x = -12 + 50 Combine like terms: -12 + 50 = 38 28.5x = 38 Divide each side by '28.5'. x = 1.333333333 Simplifying x = 1.333333333
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