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Simplifying 5.7(x + -3) = -0.3x + 12.9 Reorder the terms: 5.7(-3 + x) = -0.3x + 12.9 (-3 * 5.7 + x * 5.7) = -0.3x + 12.9 (-17.1 + 5.7x) = -0.3x + 12.9 Reorder the terms: -17.1 + 5.7x = 12.9 + -0.3x Solving -17.1 + 5.7x = 12.9 + -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. -17.1 + 5.7x + 0.3x = 12.9 + -0.3x + 0.3x Combine like terms: 5.7x + 0.3x = 6x -17.1 + 6x = 12.9 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 -17.1 + 6x = 12.9 + 0.0 -17.1 + 6x = 12.9 Add '17.1' to each side of the equation. -17.1 + 17.1 + 6x = 12.9 + 17.1 Combine like terms: -17.1 + 17.1 = 0.0 0.0 + 6x = 12.9 + 17.1 6x = 12.9 + 17.1 Combine like terms: 12.9 + 17.1 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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