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Simplifying 0.84 + -0.09x = 0.3(0.25x + -1.6) Reorder the terms: 0.84 + -0.09x = 0.3(-1.6 + 0.25x) 0.84 + -0.09x = (-1.6 * 0.3 + 0.25x * 0.3) 0.84 + -0.09x = (-0.48 + 0.075x) Solving 0.84 + -0.09x = -0.48 + 0.075x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.075x' to each side of the equation. 0.84 + -0.09x + -0.075x = -0.48 + 0.075x + -0.075x Combine like terms: -0.09x + -0.075x = -0.165x 0.84 + -0.165x = -0.48 + 0.075x + -0.075x Combine like terms: 0.075x + -0.075x = 0.000 0.84 + -0.165x = -0.48 + 0.000 0.84 + -0.165x = -0.48 Add '-0.84' to each side of the equation. 0.84 + -0.84 + -0.165x = -0.48 + -0.84 Combine like terms: 0.84 + -0.84 = 0.00 0.00 + -0.165x = -0.48 + -0.84 -0.165x = -0.48 + -0.84 Combine like terms: -0.48 + -0.84 = -1.32 -0.165x = -1.32 Divide each side by '-0.165'. x = 8 Simplifying x = 8
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