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Simplifying 0.17x + 0.06(x + -2) = 0.01(4x + -2) Reorder the terms: 0.17x + 0.06(-2 + x) = 0.01(4x + -2) 0.17x + (-2 * 0.06 + x * 0.06) = 0.01(4x + -2) 0.17x + (-0.12 + 0.06x) = 0.01(4x + -2) Reorder the terms: -0.12 + 0.17x + 0.06x = 0.01(4x + -2) Combine like terms: 0.17x + 0.06x = 0.23x -0.12 + 0.23x = 0.01(4x + -2) Reorder the terms: -0.12 + 0.23x = 0.01(-2 + 4x) -0.12 + 0.23x = (-2 * 0.01 + 4x * 0.01) -0.12 + 0.23x = (-0.02 + 0.04x) Solving -0.12 + 0.23x = -0.02 + 0.04x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.04x' to each side of the equation. -0.12 + 0.23x + -0.04x = -0.02 + 0.04x + -0.04x Combine like terms: 0.23x + -0.04x = 0.19x -0.12 + 0.19x = -0.02 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -0.12 + 0.19x = -0.02 + 0.00 -0.12 + 0.19x = -0.02 Add '0.12' to each side of the equation. -0.12 + 0.12 + 0.19x = -0.02 + 0.12 Combine like terms: -0.12 + 0.12 = 0.00 0.00 + 0.19x = -0.02 + 0.12 0.19x = -0.02 + 0.12 Combine like terms: -0.02 + 0.12 = 0.1 0.19x = 0.1 Divide each side by '0.19'. x = 0.5263157895 Simplifying x = 0.5263157895
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