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Simplifying 0.17x + 0.4(x + -3) = 0.01(2x + -3) Reorder the terms: 0.17x + 0.4(-3 + x) = 0.01(2x + -3) 0.17x + (-3 * 0.4 + x * 0.4) = 0.01(2x + -3) 0.17x + (-1.2 + 0.4x) = 0.01(2x + -3) Reorder the terms: -1.2 + 0.17x + 0.4x = 0.01(2x + -3) Combine like terms: 0.17x + 0.4x = 0.57x -1.2 + 0.57x = 0.01(2x + -3) Reorder the terms: -1.2 + 0.57x = 0.01(-3 + 2x) -1.2 + 0.57x = (-3 * 0.01 + 2x * 0.01) -1.2 + 0.57x = (-0.03 + 0.02x) Solving -1.2 + 0.57x = -0.03 + 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. -1.2 + 0.57x + -0.02x = -0.03 + 0.02x + -0.02x Combine like terms: 0.57x + -0.02x = 0.55x -1.2 + 0.55x = -0.03 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -1.2 + 0.55x = -0.03 + 0.00 -1.2 + 0.55x = -0.03 Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.55x = -0.03 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.55x = -0.03 + 1.2 0.55x = -0.03 + 1.2 Combine like terms: -0.03 + 1.2 = 1.17 0.55x = 1.17 Divide each side by '0.55'. x = 2.127272727 Simplifying x = 2.127272727
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