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Simplifying 0.16x + 0.2(x + -2) = 0.01(3x + -4) Reorder the terms: 0.16x + 0.2(-2 + x) = 0.01(3x + -4) 0.16x + (-2 * 0.2 + x * 0.2) = 0.01(3x + -4) 0.16x + (-0.4 + 0.2x) = 0.01(3x + -4) Reorder the terms: -0.4 + 0.16x + 0.2x = 0.01(3x + -4) Combine like terms: 0.16x + 0.2x = 0.36x -0.4 + 0.36x = 0.01(3x + -4) Reorder the terms: -0.4 + 0.36x = 0.01(-4 + 3x) -0.4 + 0.36x = (-4 * 0.01 + 3x * 0.01) -0.4 + 0.36x = (-0.04 + 0.03x) Solving -0.4 + 0.36x = -0.04 + 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. -0.4 + 0.36x + -0.03x = -0.04 + 0.03x + -0.03x Combine like terms: 0.36x + -0.03x = 0.33x -0.4 + 0.33x = -0.04 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -0.4 + 0.33x = -0.04 + 0.00 -0.4 + 0.33x = -0.04 Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.33x = -0.04 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.33x = -0.04 + 0.4 0.33x = -0.04 + 0.4 Combine like terms: -0.04 + 0.4 = 0.36 0.33x = 0.36 Divide each side by '0.33'. x = 1.090909091 Simplifying x = 1.090909091
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