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Simplifying 0.14x + 0.7(x + -3) = 0.01(3x + -2) Reorder the terms: 0.14x + 0.7(-3 + x) = 0.01(3x + -2) 0.14x + (-3 * 0.7 + x * 0.7) = 0.01(3x + -2) 0.14x + (-2.1 + 0.7x) = 0.01(3x + -2) Reorder the terms: -2.1 + 0.14x + 0.7x = 0.01(3x + -2) Combine like terms: 0.14x + 0.7x = 0.84x -2.1 + 0.84x = 0.01(3x + -2) Reorder the terms: -2.1 + 0.84x = 0.01(-2 + 3x) -2.1 + 0.84x = (-2 * 0.01 + 3x * 0.01) -2.1 + 0.84x = (-0.02 + 0.03x) Solving -2.1 + 0.84x = -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. -2.1 + 0.84x + -0.03x = -0.02 + 0.03x + -0.03x Combine like terms: 0.84x + -0.03x = 0.81x -2.1 + 0.81x = -0.02 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -2.1 + 0.81x = -0.02 + 0.00 -2.1 + 0.81x = -0.02 Add '2.1' to each side of the equation. -2.1 + 2.1 + 0.81x = -0.02 + 2.1 Combine like terms: -2.1 + 2.1 = 0.0 0.0 + 0.81x = -0.02 + 2.1 0.81x = -0.02 + 2.1 Combine like terms: -0.02 + 2.1 = 2.08 0.81x = 2.08 Divide each side by '0.81'. x = 2.567901235 Simplifying x = 2.567901235
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