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Simplifying 0.14x + 0.7(x + -2) = 0.01(2x + -4) Reorder the terms: 0.14x + 0.7(-2 + x) = 0.01(2x + -4) 0.14x + (-2 * 0.7 + x * 0.7) = 0.01(2x + -4) 0.14x + (-1.4 + 0.7x) = 0.01(2x + -4) Reorder the terms: -1.4 + 0.14x + 0.7x = 0.01(2x + -4) Combine like terms: 0.14x + 0.7x = 0.84x -1.4 + 0.84x = 0.01(2x + -4) Reorder the terms: -1.4 + 0.84x = 0.01(-4 + 2x) -1.4 + 0.84x = (-4 * 0.01 + 2x * 0.01) -1.4 + 0.84x = (-0.04 + 0.02x) Solving -1.4 + 0.84x = -0.04 + 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 + 0.84x + -0.02x = -0.04 + 0.02x + -0.02x Combine like terms: 0.84x + -0.02x = 0.82x -1.4 + 0.82x = -0.04 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -1.4 + 0.82x = -0.04 + 0.00 -1.4 + 0.82x = -0.04 Add '1.4' to each side of the equation. -1.4 + 1.4 + 0.82x = -0.04 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + 0.82x = -0.04 + 1.4 0.82x = -0.04 + 1.4 Combine like terms: -0.04 + 1.4 = 1.36 0.82x = 1.36 Divide each side by '0.82'. x = 1.658536585 Simplifying x = 1.658536585
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