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Simplifying 0.285(15x + 4) = 0.5(9x + -20) + 9 Reorder the terms: 0.285(4 + 15x) = 0.5(9x + -20) + 9 (4 * 0.285 + 15x * 0.285) = 0.5(9x + -20) + 9 (1.14 + 4.275x) = 0.5(9x + -20) + 9 Reorder the terms: 1.14 + 4.275x = 0.5(-20 + 9x) + 9 1.14 + 4.275x = (-20 * 0.5 + 9x * 0.5) + 9 1.14 + 4.275x = (-10 + 4.5x) + 9 Reorder the terms: 1.14 + 4.275x = -10 + 9 + 4.5x Combine like terms: -10 + 9 = -1 1.14 + 4.275x = -1 + 4.5x Solving 1.14 + 4.275x = -1 + 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. 1.14 + 4.275x + -4.5x = -1 + 4.5x + -4.5x Combine like terms: 4.275x + -4.5x = -0.225x 1.14 + -0.225x = -1 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 1.14 + -0.225x = -1 + 0.0 1.14 + -0.225x = -1 Add '-1.14' to each side of the equation. 1.14 + -1.14 + -0.225x = -1 + -1.14 Combine like terms: 1.14 + -1.14 = 0.00 0.00 + -0.225x = -1 + -1.14 -0.225x = -1 + -1.14 Combine like terms: -1 + -1.14 = -2.14 -0.225x = -2.14 Divide each side by '-0.225'. x = 9.511111111 Simplifying x = 9.511111111
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