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Simplifying 1.4x + 3(x + -2) = 0.1(3x + -2) Reorder the terms: 1.4x + 3(-2 + x) = 0.1(3x + -2) 1.4x + (-2 * 3 + x * 3) = 0.1(3x + -2) 1.4x + (-6 + 3x) = 0.1(3x + -2) Reorder the terms: -6 + 1.4x + 3x = 0.1(3x + -2) Combine like terms: 1.4x + 3x = 4.4x -6 + 4.4x = 0.1(3x + -2) Reorder the terms: -6 + 4.4x = 0.1(-2 + 3x) -6 + 4.4x = (-2 * 0.1 + 3x * 0.1) -6 + 4.4x = (-0.2 + 0.3x) Solving -6 + 4.4x = -0.2 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. -6 + 4.4x + -0.3x = -0.2 + 0.3x + -0.3x Combine like terms: 4.4x + -0.3x = 4.1x -6 + 4.1x = -0.2 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -6 + 4.1x = -0.2 + 0.0 -6 + 4.1x = -0.2 Add '6' to each side of the equation. -6 + 6 + 4.1x = -0.2 + 6 Combine like terms: -6 + 6 = 0 0 + 4.1x = -0.2 + 6 4.1x = -0.2 + 6 Combine like terms: -0.2 + 6 = 5.8 4.1x = 5.8 Divide each side by '4.1'. x = 1.414634146 Simplifying x = 1.414634146
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