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Simplifying -0.08x + -0.03(2 + -5x) = 0.02(x + -3) + -0.25 -0.08x + (2 * -0.03 + -5x * -0.03) = 0.02(x + -3) + -0.25 -0.08x + (-0.06 + 0.15x) = 0.02(x + -3) + -0.25 Reorder the terms: -0.06 + -0.08x + 0.15x = 0.02(x + -3) + -0.25 Combine like terms: -0.08x + 0.15x = 0.07x -0.06 + 0.07x = 0.02(x + -3) + -0.25 Reorder the terms: -0.06 + 0.07x = 0.02(-3 + x) + -0.25 -0.06 + 0.07x = (-3 * 0.02 + x * 0.02) + -0.25 -0.06 + 0.07x = (-0.06 + 0.02x) + -0.25 Reorder the terms: -0.06 + 0.07x = -0.06 + -0.25 + 0.02x Combine like terms: -0.06 + -0.25 = -0.31 -0.06 + 0.07x = -0.31 + 0.02x Solving -0.06 + 0.07x = -0.31 + 0.02x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.02x' to each side of the equation. -0.06 + 0.07x + -0.02x = -0.31 + 0.02x + -0.02x Combine like terms: 0.07x + -0.02x = 0.05x -0.06 + 0.05x = -0.31 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -0.06 + 0.05x = -0.31 + 0.00 -0.06 + 0.05x = -0.31 Add '0.06' to each side of the equation. -0.06 + 0.06 + 0.05x = -0.31 + 0.06 Combine like terms: -0.06 + 0.06 = 0.00 0.00 + 0.05x = -0.31 + 0.06 0.05x = -0.31 + 0.06 Combine like terms: -0.31 + 0.06 = -0.25 0.05x = -0.25 Divide each side by '0.05'. x = -5 Simplifying x = -5
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