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Simplifying 0.15x + 0.4(x + -3) = 0.01(3x + -2) Reorder the terms: 0.15x + 0.4(-3 + x) = 0.01(3x + -2) 0.15x + (-3 * 0.4 + x * 0.4) = 0.01(3x + -2) 0.15x + (-1.2 + 0.4x) = 0.01(3x + -2) Reorder the terms: -1.2 + 0.15x + 0.4x = 0.01(3x + -2) Combine like terms: 0.15x + 0.4x = 0.55x -1.2 + 0.55x = 0.01(3x + -2) Reorder the terms: -1.2 + 0.55x = 0.01(-2 + 3x) -1.2 + 0.55x = (-2 * 0.01 + 3x * 0.01) -1.2 + 0.55x = (-0.02 + 0.03x) Solving -1.2 + 0.55x = -0.02 + 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 + 0.55x + -0.03x = -0.02 + 0.03x + -0.03x Combine like terms: 0.55x + -0.03x = 0.52x -1.2 + 0.52x = -0.02 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -1.2 + 0.52x = -0.02 + 0.00 -1.2 + 0.52x = -0.02 Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.52x = -0.02 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.52x = -0.02 + 1.2 0.52x = -0.02 + 1.2 Combine like terms: -0.02 + 1.2 = 1.18 0.52x = 1.18 Divide each side by '0.52'. x = 2.269230769 Simplifying x = 2.269230769
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