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Simplifying 4.7(x + -4) = -0.3x + 11.2 Reorder the terms: 4.7(-4 + x) = -0.3x + 11.2 (-4 * 4.7 + x * 4.7) = -0.3x + 11.2 (-18.8 + 4.7x) = -0.3x + 11.2 Reorder the terms: -18.8 + 4.7x = 11.2 + -0.3x Solving -18.8 + 4.7x = 11.2 + -0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3x' to each side of the equation. -18.8 + 4.7x + 0.3x = 11.2 + -0.3x + 0.3x Combine like terms: 4.7x + 0.3x = 5x -18.8 + 5x = 11.2 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 -18.8 + 5x = 11.2 + 0.0 -18.8 + 5x = 11.2 Add '18.8' to each side of the equation. -18.8 + 18.8 + 5x = 11.2 + 18.8 Combine like terms: -18.8 + 18.8 = 0.0 0.0 + 5x = 11.2 + 18.8 5x = 11.2 + 18.8 Combine like terms: 11.2 + 18.8 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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