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Simplifying 0.15x + 0.6(x + -2) = 0.01(3x + -5) Reorder the terms: 0.15x + 0.6(-2 + x) = 0.01(3x + -5) 0.15x + (-2 * 0.6 + x * 0.6) = 0.01(3x + -5) 0.15x + (-1.2 + 0.6x) = 0.01(3x + -5) Reorder the terms: -1.2 + 0.15x + 0.6x = 0.01(3x + -5) Combine like terms: 0.15x + 0.6x = 0.75x -1.2 + 0.75x = 0.01(3x + -5) Reorder the terms: -1.2 + 0.75x = 0.01(-5 + 3x) -1.2 + 0.75x = (-5 * 0.01 + 3x * 0.01) -1.2 + 0.75x = (-0.05 + 0.03x) Solving -1.2 + 0.75x = -0.05 + 0.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.03x' to each side of the equation. -1.2 + 0.75x + -0.03x = -0.05 + 0.03x + -0.03x Combine like terms: 0.75x + -0.03x = 0.72x -1.2 + 0.72x = -0.05 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -1.2 + 0.72x = -0.05 + 0.00 -1.2 + 0.72x = -0.05 Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.72x = -0.05 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.72x = -0.05 + 1.2 0.72x = -0.05 + 1.2 Combine like terms: -0.05 + 1.2 = 1.15 0.72x = 1.15 Divide each side by '0.72'. x = 1.597222222 Simplifying x = 1.597222222
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