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Simplifying 4.7(x + -7) = -0.3x + 20.6 Reorder the terms: 4.7(-7 + x) = -0.3x + 20.6 (-7 * 4.7 + x * 4.7) = -0.3x + 20.6 (-32.9 + 4.7x) = -0.3x + 20.6 Reorder the terms: -32.9 + 4.7x = 20.6 + -0.3x Solving -32.9 + 4.7x = 20.6 + -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. -32.9 + 4.7x + 0.3x = 20.6 + -0.3x + 0.3x Combine like terms: 4.7x + 0.3x = 5x -32.9 + 5x = 20.6 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 -32.9 + 5x = 20.6 + 0.0 -32.9 + 5x = 20.6 Add '32.9' to each side of the equation. -32.9 + 32.9 + 5x = 20.6 + 32.9 Combine like terms: -32.9 + 32.9 = 0.0 0.0 + 5x = 20.6 + 32.9 5x = 20.6 + 32.9 Combine like terms: 20.6 + 32.9 = 53.5 5x = 53.5 Divide each side by '5'. x = 10.7 Simplifying x = 10.7
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