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Simplifying 0.13x + 0.7(x + -1) = 0.01(3x + -2) Reorder the terms: 0.13x + 0.7(-1 + x) = 0.01(3x + -2) 0.13x + (-1 * 0.7 + x * 0.7) = 0.01(3x + -2) 0.13x + (-0.7 + 0.7x) = 0.01(3x + -2) Reorder the terms: -0.7 + 0.13x + 0.7x = 0.01(3x + -2) Combine like terms: 0.13x + 0.7x = 0.83x -0.7 + 0.83x = 0.01(3x + -2) Reorder the terms: -0.7 + 0.83x = 0.01(-2 + 3x) -0.7 + 0.83x = (-2 * 0.01 + 3x * 0.01) -0.7 + 0.83x = (-0.02 + 0.03x) Solving -0.7 + 0.83x = -0.02 + 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. -0.7 + 0.83x + -0.03x = -0.02 + 0.03x + -0.03x Combine like terms: 0.83x + -0.03x = 0.8x -0.7 + 0.8x = -0.02 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -0.7 + 0.8x = -0.02 + 0.00 -0.7 + 0.8x = -0.02 Add '0.7' to each side of the equation. -0.7 + 0.7 + 0.8x = -0.02 + 0.7 Combine like terms: -0.7 + 0.7 = 0.0 0.0 + 0.8x = -0.02 + 0.7 0.8x = -0.02 + 0.7 Combine like terms: -0.02 + 0.7 = 0.68 0.8x = 0.68 Divide each side by '0.8'. x = 0.85 Simplifying x = 0.85
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