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Simplifying 3x + -4 = 0.5(9x + -20) Reorder the terms: -4 + 3x = 0.5(9x + -20) Reorder the terms: -4 + 3x = 0.5(-20 + 9x) -4 + 3x = (-20 * 0.5 + 9x * 0.5) -4 + 3x = (-10 + 4.5x) Solving -4 + 3x = -10 + 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. -4 + 3x + -4.5x = -10 + 4.5x + -4.5x Combine like terms: 3x + -4.5x = -1.5x -4 + -1.5x = -10 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 -4 + -1.5x = -10 + 0.0 -4 + -1.5x = -10 Add '4' to each side of the equation. -4 + 4 + -1.5x = -10 + 4 Combine like terms: -4 + 4 = 0 0 + -1.5x = -10 + 4 -1.5x = -10 + 4 Combine like terms: -10 + 4 = -6 -1.5x = -6 Divide each side by '-1.5'. x = 4 Simplifying x = 4
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