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Simplifying 0.2(3x + 1) = 4[0.3x + (2)] + -4.9 Reorder the terms: 0.2(1 + 3x) = 4[0.3x + (2)] + -4.9 (1 * 0.2 + 3x * 0.2) = 4[0.3x + (2)] + -4.9 (0.2 + 0.6x) = 4[0.3x + (2)] + -4.9 0.2 + 0.6x = 4[0.3x + 2] + -4.9 Reorder the terms: 0.2 + 0.6x = 4[2 + 0.3x] + -4.9 0.2 + 0.6x = [2 * 4 + 0.3x * 4] + -4.9 0.2 + 0.6x = [8 + 1.2x] + -4.9 Reorder the terms: 0.2 + 0.6x = 8 + -4.9 + 1.2x Combine like terms: 8 + -4.9 = 3.1 0.2 + 0.6x = 3.1 + 1.2x Solving 0.2 + 0.6x = 3.1 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. 0.2 + 0.6x + -1.2x = 3.1 + 1.2x + -1.2x Combine like terms: 0.6x + -1.2x = -0.6x 0.2 + -0.6x = 3.1 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 0.2 + -0.6x = 3.1 + 0.0 0.2 + -0.6x = 3.1 Add '-0.2' to each side of the equation. 0.2 + -0.2 + -0.6x = 3.1 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + -0.6x = 3.1 + -0.2 -0.6x = 3.1 + -0.2 Combine like terms: 3.1 + -0.2 = 2.9 -0.6x = 2.9 Divide each side by '-0.6'. x = -4.833333333 Simplifying x = -4.833333333
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