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Simplifying 7.9 + -5.9(x + 2.1) = 4 + -1(x + 6) Reorder the terms: 7.9 + -5.9(2.1 + x) = 4 + -1(x + 6) 7.9 + (2.1 * -5.9 + x * -5.9) = 4 + -1(x + 6) 7.9 + (-12.39 + -5.9x) = 4 + -1(x + 6) Combine like terms: 7.9 + -12.39 = -4.49 -4.49 + -5.9x = 4 + -1(x + 6) Reorder the terms: -4.49 + -5.9x = 4 + -1(6 + x) -4.49 + -5.9x = 4 + (6 * -1 + x * -1) -4.49 + -5.9x = 4 + (-6 + -1x) Combine like terms: 4 + -6 = -2 -4.49 + -5.9x = -2 + -1x Solving -4.49 + -5.9x = -2 + -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. -4.49 + -5.9x + x = -2 + -1x + x Combine like terms: -5.9x + x = -4.9x -4.49 + -4.9x = -2 + -1x + x Combine like terms: -1x + x = 0 -4.49 + -4.9x = -2 + 0 -4.49 + -4.9x = -2 Add '4.49' to each side of the equation. -4.49 + 4.49 + -4.9x = -2 + 4.49 Combine like terms: -4.49 + 4.49 = 0.00 0.00 + -4.9x = -2 + 4.49 -4.9x = -2 + 4.49 Combine like terms: -2 + 4.49 = 2.49 -4.9x = 2.49 Divide each side by '-4.9'. x = -0.5081632653 Simplifying x = -0.5081632653
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