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Simplifying 0.13x + 0.2(x + -2) = 0.01(4x + -4) Reorder the terms: 0.13x + 0.2(-2 + x) = 0.01(4x + -4) 0.13x + (-2 * 0.2 + x * 0.2) = 0.01(4x + -4) 0.13x + (-0.4 + 0.2x) = 0.01(4x + -4) Reorder the terms: -0.4 + 0.13x + 0.2x = 0.01(4x + -4) Combine like terms: 0.13x + 0.2x = 0.33x -0.4 + 0.33x = 0.01(4x + -4) Reorder the terms: -0.4 + 0.33x = 0.01(-4 + 4x) -0.4 + 0.33x = (-4 * 0.01 + 4x * 0.01) -0.4 + 0.33x = (-0.04 + 0.04x) Solving -0.4 + 0.33x = -0.04 + 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. -0.4 + 0.33x + -0.04x = -0.04 + 0.04x + -0.04x Combine like terms: 0.33x + -0.04x = 0.29x -0.4 + 0.29x = -0.04 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -0.4 + 0.29x = -0.04 + 0.00 -0.4 + 0.29x = -0.04 Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.29x = -0.04 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.29x = -0.04 + 0.4 0.29x = -0.04 + 0.4 Combine like terms: -0.04 + 0.4 = 0.36 0.29x = 0.36 Divide each side by '0.29'. x = 1.24137931 Simplifying x = 1.24137931
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