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Simplifying 0.3(11x + 4) = 2.1 + -1(x + 8) Reorder the terms: 0.3(4 + 11x) = 2.1 + -1(x + 8) (4 * 0.3 + 11x * 0.3) = 2.1 + -1(x + 8) (1.2 + 3.3x) = 2.1 + -1(x + 8) Reorder the terms: 1.2 + 3.3x = 2.1 + -1(8 + x) 1.2 + 3.3x = 2.1 + (8 * -1 + x * -1) 1.2 + 3.3x = 2.1 + (-8 + -1x) Combine like terms: 2.1 + -8 = -5.9 1.2 + 3.3x = -5.9 + -1x Solving 1.2 + 3.3x = -5.9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 1.2 + 3.3x + x = -5.9 + -1x + x Combine like terms: 3.3x + x = 4.3x 1.2 + 4.3x = -5.9 + -1x + x Combine like terms: -1x + x = 0 1.2 + 4.3x = -5.9 + 0 1.2 + 4.3x = -5.9 Add '-1.2' to each side of the equation. 1.2 + -1.2 + 4.3x = -5.9 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 4.3x = -5.9 + -1.2 4.3x = -5.9 + -1.2 Combine like terms: -5.9 + -1.2 = -7.1 4.3x = -7.1 Divide each side by '4.3'. x = -1.651162791 Simplifying x = -1.651162791
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