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Simplifying 0.16x + 0.3(x + -2) = 0.01(2x + -5) Reorder the terms: 0.16x + 0.3(-2 + x) = 0.01(2x + -5) 0.16x + (-2 * 0.3 + x * 0.3) = 0.01(2x + -5) 0.16x + (-0.6 + 0.3x) = 0.01(2x + -5) Reorder the terms: -0.6 + 0.16x + 0.3x = 0.01(2x + -5) Combine like terms: 0.16x + 0.3x = 0.46x -0.6 + 0.46x = 0.01(2x + -5) Reorder the terms: -0.6 + 0.46x = 0.01(-5 + 2x) -0.6 + 0.46x = (-5 * 0.01 + 2x * 0.01) -0.6 + 0.46x = (-0.05 + 0.02x) Solving -0.6 + 0.46x = -0.05 + 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. -0.6 + 0.46x + -0.02x = -0.05 + 0.02x + -0.02x Combine like terms: 0.46x + -0.02x = 0.44x -0.6 + 0.44x = -0.05 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -0.6 + 0.44x = -0.05 + 0.00 -0.6 + 0.44x = -0.05 Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.44x = -0.05 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.44x = -0.05 + 0.6 0.44x = -0.05 + 0.6 Combine like terms: -0.05 + 0.6 = 0.55 0.44x = 0.55 Divide each side by '0.44'. x = 1.25 Simplifying x = 1.25
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