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Simplifying 0.13x + 0.6(x + -3) = 0.01(3x + -5) Reorder the terms: 0.13x + 0.6(-3 + x) = 0.01(3x + -5) 0.13x + (-3 * 0.6 + x * 0.6) = 0.01(3x + -5) 0.13x + (-1.8 + 0.6x) = 0.01(3x + -5) Reorder the terms: -1.8 + 0.13x + 0.6x = 0.01(3x + -5) Combine like terms: 0.13x + 0.6x = 0.73x -1.8 + 0.73x = 0.01(3x + -5) Reorder the terms: -1.8 + 0.73x = 0.01(-5 + 3x) -1.8 + 0.73x = (-5 * 0.01 + 3x * 0.01) -1.8 + 0.73x = (-0.05 + 0.03x) Solving -1.8 + 0.73x = -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. -1.8 + 0.73x + -0.03x = -0.05 + 0.03x + -0.03x Combine like terms: 0.73x + -0.03x = 0.7x -1.8 + 0.7x = -0.05 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -1.8 + 0.7x = -0.05 + 0.00 -1.8 + 0.7x = -0.05 Add '1.8' to each side of the equation. -1.8 + 1.8 + 0.7x = -0.05 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + 0.7x = -0.05 + 1.8 0.7x = -0.05 + 1.8 Combine like terms: -0.05 + 1.8 = 1.75 0.7x = 1.75 Divide each side by '0.7'. x = 2.5 Simplifying x = 2.5
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