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Simplifying 1.4x + 30(x + -2) = 0.1(3x + -2) Reorder the terms: 1.4x + 30(-2 + x) = 0.1(3x + -2) 1.4x + (-2 * 30 + x * 30) = 0.1(3x + -2) 1.4x + (-60 + 30x) = 0.1(3x + -2) Reorder the terms: -60 + 1.4x + 30x = 0.1(3x + -2) Combine like terms: 1.4x + 30x = 31.4x -60 + 31.4x = 0.1(3x + -2) Reorder the terms: -60 + 31.4x = 0.1(-2 + 3x) -60 + 31.4x = (-2 * 0.1 + 3x * 0.1) -60 + 31.4x = (-0.2 + 0.3x) Solving -60 + 31.4x = -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. -60 + 31.4x + -0.3x = -0.2 + 0.3x + -0.3x Combine like terms: 31.4x + -0.3x = 31.1x -60 + 31.1x = -0.2 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -60 + 31.1x = -0.2 + 0.0 -60 + 31.1x = -0.2 Add '60' to each side of the equation. -60 + 60 + 31.1x = -0.2 + 60 Combine like terms: -60 + 60 = 0 0 + 31.1x = -0.2 + 60 31.1x = -0.2 + 60 Combine like terms: -0.2 + 60 = 59.8 31.1x = 59.8 Divide each side by '31.1'. x = 1.922829582 Simplifying x = 1.922829582
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