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Simplifying -6.6(3x + 6) + -2.1(2x + -5) = 0 Reorder the terms: -6.6(6 + 3x) + -2.1(2x + -5) = 0 (6 * -6.6 + 3x * -6.6) + -2.1(2x + -5) = 0 (-39.6 + -19.8x) + -2.1(2x + -5) = 0 Reorder the terms: -39.6 + -19.8x + -2.1(-5 + 2x) = 0 -39.6 + -19.8x + (-5 * -2.1 + 2x * -2.1) = 0 -39.6 + -19.8x + (10.5 + -4.2x) = 0 Reorder the terms: -39.6 + 10.5 + -19.8x + -4.2x = 0 Combine like terms: -39.6 + 10.5 = -29.1 -29.1 + -19.8x + -4.2x = 0 Combine like terms: -19.8x + -4.2x = -24x -29.1 + -24x = 0 Solving -29.1 + -24x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29.1' to each side of the equation. -29.1 + 29.1 + -24x = 0 + 29.1 Combine like terms: -29.1 + 29.1 = 0.0 0.0 + -24x = 0 + 29.1 -24x = 0 + 29.1 Combine like terms: 0 + 29.1 = 29.1 -24x = 29.1 Divide each side by '-24'. x = -1.2125 Simplifying x = -1.2125
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