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Simplifying 0.5(0.54 + -9x) = -4x (0.54 * 0.5 + -9x * 0.5) = -4x (0.27 + -4.5x) = -4x Solving 0.27 + -4.5x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 0.27 + -4.5x + 4x = -4x + 4x Combine like terms: -4.5x + 4x = -0.5x 0.27 + -0.5x = -4x + 4x Combine like terms: -4x + 4x = 0 0.27 + -0.5x = 0 Add '-0.27' to each side of the equation. 0.27 + -0.27 + -0.5x = 0 + -0.27 Combine like terms: 0.27 + -0.27 = 0.00 0.00 + -0.5x = 0 + -0.27 -0.5x = 0 + -0.27 Combine like terms: 0 + -0.27 = -0.27 -0.5x = -0.27 Divide each side by '-0.5'. x = 0.54 Simplifying x = 0.54
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