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Simplifying -5.1(2x + 6) + -1.2(3x + -5) = 0 Reorder the terms: -5.1(6 + 2x) + -1.2(3x + -5) = 0 (6 * -5.1 + 2x * -5.1) + -1.2(3x + -5) = 0 (-30.6 + -10.2x) + -1.2(3x + -5) = 0 Reorder the terms: -30.6 + -10.2x + -1.2(-5 + 3x) = 0 -30.6 + -10.2x + (-5 * -1.2 + 3x * -1.2) = 0 -30.6 + -10.2x + (6 + -3.6x) = 0 Reorder the terms: -30.6 + 6 + -10.2x + -3.6x = 0 Combine like terms: -30.6 + 6 = -24.6 -24.6 + -10.2x + -3.6x = 0 Combine like terms: -10.2x + -3.6x = -13.8x -24.6 + -13.8x = 0 Solving -24.6 + -13.8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24.6' to each side of the equation. -24.6 + 24.6 + -13.8x = 0 + 24.6 Combine like terms: -24.6 + 24.6 = 0.0 0.0 + -13.8x = 0 + 24.6 -13.8x = 0 + 24.6 Combine like terms: 0 + 24.6 = 24.6 -13.8x = 24.6 Divide each side by '-13.8'. x = -1.782608696 Simplifying x = -1.782608696
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