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Simplifying -6.9(x + -1) + -5.9(x + -2.2) = -13.4 Reorder the terms: -6.9(-1 + x) + -5.9(x + -2.2) = -13.4 (-1 * -6.9 + x * -6.9) + -5.9(x + -2.2) = -13.4 (6.9 + -6.9x) + -5.9(x + -2.2) = -13.4 Reorder the terms: 6.9 + -6.9x + -5.9(-2.2 + x) = -13.4 6.9 + -6.9x + (-2.2 * -5.9 + x * -5.9) = -13.4 6.9 + -6.9x + (12.98 + -5.9x) = -13.4 Reorder the terms: 6.9 + 12.98 + -6.9x + -5.9x = -13.4 Combine like terms: 6.9 + 12.98 = 19.88 19.88 + -6.9x + -5.9x = -13.4 Combine like terms: -6.9x + -5.9x = -12.8x 19.88 + -12.8x = -13.4 Solving 19.88 + -12.8x = -13.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19.88' to each side of the equation. 19.88 + -19.88 + -12.8x = -13.4 + -19.88 Combine like terms: 19.88 + -19.88 = 0.00 0.00 + -12.8x = -13.4 + -19.88 -12.8x = -13.4 + -19.88 Combine like terms: -13.4 + -19.88 = -33.28 -12.8x = -33.28 Divide each side by '-12.8'. x = 2.6 Simplifying x = 2.6
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