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Simplifying 2.1(x + 4) = 1 + -3 + 0.1(x + -11) Reorder the terms: 2.1(4 + x) = 1 + -3 + 0.1(x + -11) (4 * 2.1 + x * 2.1) = 1 + -3 + 0.1(x + -11) (8.4 + 2.1x) = 1 + -3 + 0.1(x + -11) Reorder the terms: 8.4 + 2.1x = 1 + -3 + 0.1(-11 + x) 8.4 + 2.1x = 1 + -3 + (-11 * 0.1 + x * 0.1) 8.4 + 2.1x = 1 + -3 + (-1.1 + 0.1x) Combine like terms: 1 + -3 = -2 8.4 + 2.1x = -2 + -1.1 + 0.1x Combine like terms: -2 + -1.1 = -3.1 8.4 + 2.1x = -3.1 + 0.1x Solving 8.4 + 2.1x = -3.1 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. 8.4 + 2.1x + -0.1x = -3.1 + 0.1x + -0.1x Combine like terms: 2.1x + -0.1x = 2x 8.4 + 2x = -3.1 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 8.4 + 2x = -3.1 + 0.0 8.4 + 2x = -3.1 Add '-8.4' to each side of the equation. 8.4 + -8.4 + 2x = -3.1 + -8.4 Combine like terms: 8.4 + -8.4 = 0.0 0.0 + 2x = -3.1 + -8.4 2x = -3.1 + -8.4 Combine like terms: -3.1 + -8.4 = -11.5 2x = -11.5 Divide each side by '2'. x = -5.75 Simplifying x = -5.75
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