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Simplifying 2(2x + 0.3) + 2(5x + 1.3) = 2(4x + -0.1) Reorder the terms: 2(0.3 + 2x) + 2(5x + 1.3) = 2(4x + -0.1) (0.3 * 2 + 2x * 2) + 2(5x + 1.3) = 2(4x + -0.1) (0.6 + 4x) + 2(5x + 1.3) = 2(4x + -0.1) Reorder the terms: 0.6 + 4x + 2(1.3 + 5x) = 2(4x + -0.1) 0.6 + 4x + (1.3 * 2 + 5x * 2) = 2(4x + -0.1) 0.6 + 4x + (2.6 + 10x) = 2(4x + -0.1) Reorder the terms: 0.6 + 2.6 + 4x + 10x = 2(4x + -0.1) Combine like terms: 0.6 + 2.6 = 3.2 3.2 + 4x + 10x = 2(4x + -0.1) Combine like terms: 4x + 10x = 14x 3.2 + 14x = 2(4x + -0.1) Reorder the terms: 3.2 + 14x = 2(-0.1 + 4x) 3.2 + 14x = (-0.1 * 2 + 4x * 2) 3.2 + 14x = (-0.2 + 8x) Solving 3.2 + 14x = -0.2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 3.2 + 14x + -8x = -0.2 + 8x + -8x Combine like terms: 14x + -8x = 6x 3.2 + 6x = -0.2 + 8x + -8x Combine like terms: 8x + -8x = 0 3.2 + 6x = -0.2 + 0 3.2 + 6x = -0.2 Add '-3.2' to each side of the equation. 3.2 + -3.2 + 6x = -0.2 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + 6x = -0.2 + -3.2 6x = -0.2 + -3.2 Combine like terms: -0.2 + -3.2 = -3.4 6x = -3.4 Divide each side by '6'. x = -0.5666666667 Simplifying x = -0.5666666667
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