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Simplifying 0.15x + 0.7(x + -2) = 0.01(3x + -2) Reorder the terms: 0.15x + 0.7(-2 + x) = 0.01(3x + -2) 0.15x + (-2 * 0.7 + x * 0.7) = 0.01(3x + -2) 0.15x + (-1.4 + 0.7x) = 0.01(3x + -2) Reorder the terms: -1.4 + 0.15x + 0.7x = 0.01(3x + -2) Combine like terms: 0.15x + 0.7x = 0.85x -1.4 + 0.85x = 0.01(3x + -2) Reorder the terms: -1.4 + 0.85x = 0.01(-2 + 3x) -1.4 + 0.85x = (-2 * 0.01 + 3x * 0.01) -1.4 + 0.85x = (-0.02 + 0.03x) Solving -1.4 + 0.85x = -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. -1.4 + 0.85x + -0.03x = -0.02 + 0.03x + -0.03x Combine like terms: 0.85x + -0.03x = 0.82x -1.4 + 0.82x = -0.02 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -1.4 + 0.82x = -0.02 + 0.00 -1.4 + 0.82x = -0.02 Add '1.4' to each side of the equation. -1.4 + 1.4 + 0.82x = -0.02 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + 0.82x = -0.02 + 1.4 0.82x = -0.02 + 1.4 Combine like terms: -0.02 + 1.4 = 1.38 0.82x = 1.38 Divide each side by '0.82'. x = 1.682926829 Simplifying x = 1.682926829
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