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Simplifying 0.4(x + -2) + 0.2 = 0.29x + -0.435 Reorder the terms: 0.4(-2 + x) + 0.2 = 0.29x + -0.435 (-2 * 0.4 + x * 0.4) + 0.2 = 0.29x + -0.435 (-0.8 + 0.4x) + 0.2 = 0.29x + -0.435 Reorder the terms: -0.8 + 0.2 + 0.4x = 0.29x + -0.435 Combine like terms: -0.8 + 0.2 = -0.6 -0.6 + 0.4x = 0.29x + -0.435 Reorder the terms: -0.6 + 0.4x = -0.435 + 0.29x Solving -0.6 + 0.4x = -0.435 + 0.29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.29x' to each side of the equation. -0.6 + 0.4x + -0.29x = -0.435 + 0.29x + -0.29x Combine like terms: 0.4x + -0.29x = 0.11x -0.6 + 0.11x = -0.435 + 0.29x + -0.29x Combine like terms: 0.29x + -0.29x = 0.00 -0.6 + 0.11x = -0.435 + 0.00 -0.6 + 0.11x = -0.435 Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.11x = -0.435 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.11x = -0.435 + 0.6 0.11x = -0.435 + 0.6 Combine like terms: -0.435 + 0.6 = 0.165 0.11x = 0.165 Divide each side by '0.11'. x = 1.5 Simplifying x = 1.5
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