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Simplifying 7.9 + -5.9(x + 2.1) = 4 + -2(x + 6) Reorder the terms: 7.9 + -5.9(2.1 + x) = 4 + -2(x + 6) 7.9 + (2.1 * -5.9 + x * -5.9) = 4 + -2(x + 6) 7.9 + (-12.39 + -5.9x) = 4 + -2(x + 6) Combine like terms: 7.9 + -12.39 = -4.49 -4.49 + -5.9x = 4 + -2(x + 6) Reorder the terms: -4.49 + -5.9x = 4 + -2(6 + x) -4.49 + -5.9x = 4 + (6 * -2 + x * -2) -4.49 + -5.9x = 4 + (-12 + -2x) Combine like terms: 4 + -12 = -8 -4.49 + -5.9x = -8 + -2x Solving -4.49 + -5.9x = -8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -4.49 + -5.9x + 2x = -8 + -2x + 2x Combine like terms: -5.9x + 2x = -3.9x -4.49 + -3.9x = -8 + -2x + 2x Combine like terms: -2x + 2x = 0 -4.49 + -3.9x = -8 + 0 -4.49 + -3.9x = -8 Add '4.49' to each side of the equation. -4.49 + 4.49 + -3.9x = -8 + 4.49 Combine like terms: -4.49 + 4.49 = 0.00 0.00 + -3.9x = -8 + 4.49 -3.9x = -8 + 4.49 Combine like terms: -8 + 4.49 = -3.51 -3.9x = -3.51 Divide each side by '-3.9'. x = 0.9 Simplifying x = 0.9
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