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Simplifying 0.18(2x + -3) + -0.10(3x + 1) = 0.025x Reorder the terms: 0.18(-3 + 2x) + -0.10(3x + 1) = 0.025x (-3 * 0.18 + 2x * 0.18) + -0.10(3x + 1) = 0.025x (-0.54 + 0.36x) + -0.10(3x + 1) = 0.025x Reorder the terms: -0.54 + 0.36x + -0.10(1 + 3x) = 0.025x -0.54 + 0.36x + (1 * -0.10 + 3x * -0.10) = 0.025x -0.54 + 0.36x + (-0.1 + -0.3x) = 0.025x Reorder the terms: -0.54 + -0.1 + 0.36x + -0.3x = 0.025x Combine like terms: -0.54 + -0.1 = -0.64 -0.64 + 0.36x + -0.3x = 0.025x Combine like terms: 0.36x + -0.3x = 0.06x -0.64 + 0.06x = 0.025x Solving -0.64 + 0.06x = 0.025x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.025x' to each side of the equation. -0.64 + 0.06x + -0.025x = 0.025x + -0.025x Combine like terms: 0.06x + -0.025x = 0.035x -0.64 + 0.035x = 0.025x + -0.025x Combine like terms: 0.025x + -0.025x = 0.000 -0.64 + 0.035x = 0.000 Add '0.64' to each side of the equation. -0.64 + 0.64 + 0.035x = 0.000 + 0.64 Combine like terms: -0.64 + 0.64 = 0.00 0.00 + 0.035x = 0.000 + 0.64 0.035x = 0.000 + 0.64 Combine like terms: 0.000 + 0.64 = 0.64 0.035x = 0.64 Divide each side by '0.035'. x = 18.28571429 Simplifying x = 18.28571429
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