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Simplifying -5.1(x + 3) = -4.6x Reorder the terms: -5.1(3 + x) = -4.6x (3 * -5.1 + x * -5.1) = -4.6x (-15.3 + -5.1x) = -4.6x Solving -15.3 + -5.1x = -4.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.6x' to each side of the equation. -15.3 + -5.1x + 4.6x = -4.6x + 4.6x Combine like terms: -5.1x + 4.6x = -0.5x -15.3 + -0.5x = -4.6x + 4.6x Combine like terms: -4.6x + 4.6x = 0.0 -15.3 + -0.5x = 0.0 Add '15.3' to each side of the equation. -15.3 + 15.3 + -0.5x = 0.0 + 15.3 Combine like terms: -15.3 + 15.3 = 0.0 0.0 + -0.5x = 0.0 + 15.3 -0.5x = 0.0 + 15.3 Combine like terms: 0.0 + 15.3 = 15.3 -0.5x = 15.3 Divide each side by '-0.5'. x = -30.6 Simplifying x = -30.6
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