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Simplifying 5.8(x + -3) = -0.2x + 30.6 Reorder the terms: 5.8(-3 + x) = -0.2x + 30.6 (-3 * 5.8 + x * 5.8) = -0.2x + 30.6 (-17.4 + 5.8x) = -0.2x + 30.6 Reorder the terms: -17.4 + 5.8x = 30.6 + -0.2x Solving -17.4 + 5.8x = 30.6 + -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. -17.4 + 5.8x + 0.2x = 30.6 + -0.2x + 0.2x Combine like terms: 5.8x + 0.2x = 6x -17.4 + 6x = 30.6 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 -17.4 + 6x = 30.6 + 0.0 -17.4 + 6x = 30.6 Add '17.4' to each side of the equation. -17.4 + 17.4 + 6x = 30.6 + 17.4 Combine like terms: -17.4 + 17.4 = 0.0 0.0 + 6x = 30.6 + 17.4 6x = 30.6 + 17.4 Combine like terms: 30.6 + 17.4 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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