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Simplifying 2(2x + 0.3) + 2(5x + 1.3) = 2(4x + -1.2) + 2(4x + -0.1) Reorder the terms: 2(0.3 + 2x) + 2(5x + 1.3) = 2(4x + -1.2) + 2(4x + -0.1) (0.3 * 2 + 2x * 2) + 2(5x + 1.3) = 2(4x + -1.2) + 2(4x + -0.1) (0.6 + 4x) + 2(5x + 1.3) = 2(4x + -1.2) + 2(4x + -0.1) Reorder the terms: 0.6 + 4x + 2(1.3 + 5x) = 2(4x + -1.2) + 2(4x + -0.1) 0.6 + 4x + (1.3 * 2 + 5x * 2) = 2(4x + -1.2) + 2(4x + -0.1) 0.6 + 4x + (2.6 + 10x) = 2(4x + -1.2) + 2(4x + -0.1) Reorder the terms: 0.6 + 2.6 + 4x + 10x = 2(4x + -1.2) + 2(4x + -0.1) Combine like terms: 0.6 + 2.6 = 3.2 3.2 + 4x + 10x = 2(4x + -1.2) + 2(4x + -0.1) Combine like terms: 4x + 10x = 14x 3.2 + 14x = 2(4x + -1.2) + 2(4x + -0.1) Reorder the terms: 3.2 + 14x = 2(-1.2 + 4x) + 2(4x + -0.1) 3.2 + 14x = (-1.2 * 2 + 4x * 2) + 2(4x + -0.1) 3.2 + 14x = (-2.4 + 8x) + 2(4x + -0.1) Reorder the terms: 3.2 + 14x = -2.4 + 8x + 2(-0.1 + 4x) 3.2 + 14x = -2.4 + 8x + (-0.1 * 2 + 4x * 2) 3.2 + 14x = -2.4 + 8x + (-0.2 + 8x) Reorder the terms: 3.2 + 14x = -2.4 + -0.2 + 8x + 8x Combine like terms: -2.4 + -0.2 = -2.6 3.2 + 14x = -2.6 + 8x + 8x Combine like terms: 8x + 8x = 16x 3.2 + 14x = -2.6 + 16x Solving 3.2 + 14x = -2.6 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 3.2 + 14x + -16x = -2.6 + 16x + -16x Combine like terms: 14x + -16x = -2x 3.2 + -2x = -2.6 + 16x + -16x Combine like terms: 16x + -16x = 0 3.2 + -2x = -2.6 + 0 3.2 + -2x = -2.6 Add '-3.2' to each side of the equation. 3.2 + -3.2 + -2x = -2.6 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + -2x = -2.6 + -3.2 -2x = -2.6 + -3.2 Combine like terms: -2.6 + -3.2 = -5.8 -2x = -5.8 Divide each side by '-2'. x = 2.9 Simplifying x = 2.9
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