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Simplifying -5.2(4x + 6) + -1.3(3x + -5) = 0 Reorder the terms: -5.2(6 + 4x) + -1.3(3x + -5) = 0 (6 * -5.2 + 4x * -5.2) + -1.3(3x + -5) = 0 (-31.2 + -20.8x) + -1.3(3x + -5) = 0 Reorder the terms: -31.2 + -20.8x + -1.3(-5 + 3x) = 0 -31.2 + -20.8x + (-5 * -1.3 + 3x * -1.3) = 0 -31.2 + -20.8x + (6.5 + -3.9x) = 0 Reorder the terms: -31.2 + 6.5 + -20.8x + -3.9x = 0 Combine like terms: -31.2 + 6.5 = -24.7 -24.7 + -20.8x + -3.9x = 0 Combine like terms: -20.8x + -3.9x = -24.7x -24.7 + -24.7x = 0 Solving -24.7 + -24.7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24.7' to each side of the equation. -24.7 + 24.7 + -24.7x = 0 + 24.7 Combine like terms: -24.7 + 24.7 = 0.0 0.0 + -24.7x = 0 + 24.7 -24.7x = 0 + 24.7 Combine like terms: 0 + 24.7 = 24.7 -24.7x = 24.7 Divide each side by '-24.7'. x = -1 Simplifying x = -1
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