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Simplifying 0.12x + 0.7(x + -2) = 0.01(2x + -2) Reorder the terms: 0.12x + 0.7(-2 + x) = 0.01(2x + -2) 0.12x + (-2 * 0.7 + x * 0.7) = 0.01(2x + -2) 0.12x + (-1.4 + 0.7x) = 0.01(2x + -2) Reorder the terms: -1.4 + 0.12x + 0.7x = 0.01(2x + -2) Combine like terms: 0.12x + 0.7x = 0.82x -1.4 + 0.82x = 0.01(2x + -2) Reorder the terms: -1.4 + 0.82x = 0.01(-2 + 2x) -1.4 + 0.82x = (-2 * 0.01 + 2x * 0.01) -1.4 + 0.82x = (-0.02 + 0.02x) Solving -1.4 + 0.82x = -0.02 + 0.02x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.02x' to each side of the equation. -1.4 + 0.82x + -0.02x = -0.02 + 0.02x + -0.02x Combine like terms: 0.82x + -0.02x = 0.8x -1.4 + 0.8x = -0.02 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -1.4 + 0.8x = -0.02 + 0.00 -1.4 + 0.8x = -0.02 Add '1.4' to each side of the equation. -1.4 + 1.4 + 0.8x = -0.02 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + 0.8x = -0.02 + 1.4 0.8x = -0.02 + 1.4 Combine like terms: -0.02 + 1.4 = 1.38 0.8x = 1.38 Divide each side by '0.8'. x = 1.725 Simplifying x = 1.725
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