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Simplifying -5.2(4x + 6) + -2.9(3x + -5) = 0 Reorder the terms: -5.2(6 + 4x) + -2.9(3x + -5) = 0 (6 * -5.2 + 4x * -5.2) + -2.9(3x + -5) = 0 (-31.2 + -20.8x) + -2.9(3x + -5) = 0 Reorder the terms: -31.2 + -20.8x + -2.9(-5 + 3x) = 0 -31.2 + -20.8x + (-5 * -2.9 + 3x * -2.9) = 0 -31.2 + -20.8x + (14.5 + -8.7x) = 0 Reorder the terms: -31.2 + 14.5 + -20.8x + -8.7x = 0 Combine like terms: -31.2 + 14.5 = -16.7 -16.7 + -20.8x + -8.7x = 0 Combine like terms: -20.8x + -8.7x = -29.5x -16.7 + -29.5x = 0 Solving -16.7 + -29.5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16.7' to each side of the equation. -16.7 + 16.7 + -29.5x = 0 + 16.7 Combine like terms: -16.7 + 16.7 = 0.0 0.0 + -29.5x = 0 + 16.7 -29.5x = 0 + 16.7 Combine like terms: 0 + 16.7 = 16.7 -29.5x = 16.7 Divide each side by '-29.5'. x = -0.5661016949 Simplifying x = -0.5661016949
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