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Simplifying -0.4(7.62 + 7x) = -2.3x (7.62 * -0.4 + 7x * -0.4) = -2.3x (-3.048 + -2.8x) = -2.3x Solving -3.048 + -2.8x = -2.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.3x' to each side of the equation. -3.048 + -2.8x + 2.3x = -2.3x + 2.3x Combine like terms: -2.8x + 2.3x = -0.5x -3.048 + -0.5x = -2.3x + 2.3x Combine like terms: -2.3x + 2.3x = 0.0 -3.048 + -0.5x = 0.0 Add '3.048' to each side of the equation. -3.048 + 3.048 + -0.5x = 0.0 + 3.048 Combine like terms: -3.048 + 3.048 = 0.000 0.000 + -0.5x = 0.0 + 3.048 -0.5x = 0.0 + 3.048 Combine like terms: 0.0 + 3.048 = 3.048 -0.5x = 3.048 Divide each side by '-0.5'. x = -6.096 Simplifying x = -6.096
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