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Simplifying -6.9(x + -2) + -6.6(x + -6.1) = 21.66 Reorder the terms: -6.9(-2 + x) + -6.6(x + -6.1) = 21.66 (-2 * -6.9 + x * -6.9) + -6.6(x + -6.1) = 21.66 (13.8 + -6.9x) + -6.6(x + -6.1) = 21.66 Reorder the terms: 13.8 + -6.9x + -6.6(-6.1 + x) = 21.66 13.8 + -6.9x + (-6.1 * -6.6 + x * -6.6) = 21.66 13.8 + -6.9x + (40.26 + -6.6x) = 21.66 Reorder the terms: 13.8 + 40.26 + -6.9x + -6.6x = 21.66 Combine like terms: 13.8 + 40.26 = 54.06 54.06 + -6.9x + -6.6x = 21.66 Combine like terms: -6.9x + -6.6x = -13.5x 54.06 + -13.5x = 21.66 Solving 54.06 + -13.5x = 21.66 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54.06' to each side of the equation. 54.06 + -54.06 + -13.5x = 21.66 + -54.06 Combine like terms: 54.06 + -54.06 = 0.00 0.00 + -13.5x = 21.66 + -54.06 -13.5x = 21.66 + -54.06 Combine like terms: 21.66 + -54.06 = -32.4 -13.5x = -32.4 Divide each side by '-13.5'. x = 2.4 Simplifying x = 2.4
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