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Simplifying -1.9(x + -6) + -2.6(x + -1.7) = -13.43 Reorder the terms: -1.9(-6 + x) + -2.6(x + -1.7) = -13.43 (-6 * -1.9 + x * -1.9) + -2.6(x + -1.7) = -13.43 (11.4 + -1.9x) + -2.6(x + -1.7) = -13.43 Reorder the terms: 11.4 + -1.9x + -2.6(-1.7 + x) = -13.43 11.4 + -1.9x + (-1.7 * -2.6 + x * -2.6) = -13.43 11.4 + -1.9x + (4.42 + -2.6x) = -13.43 Reorder the terms: 11.4 + 4.42 + -1.9x + -2.6x = -13.43 Combine like terms: 11.4 + 4.42 = 15.82 15.82 + -1.9x + -2.6x = -13.43 Combine like terms: -1.9x + -2.6x = -4.5x 15.82 + -4.5x = -13.43 Solving 15.82 + -4.5x = -13.43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15.82' to each side of the equation. 15.82 + -15.82 + -4.5x = -13.43 + -15.82 Combine like terms: 15.82 + -15.82 = 0.00 0.00 + -4.5x = -13.43 + -15.82 -4.5x = -13.43 + -15.82 Combine like terms: -13.43 + -15.82 = -29.25 -4.5x = -29.25 Divide each side by '-4.5'. x = 6.5 Simplifying x = 6.5
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