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Simplifying -0.57(4x + 6) = 0.107x + -17 Reorder the terms: -0.57(6 + 4x) = 0.107x + -17 (6 * -0.57 + 4x * -0.57) = 0.107x + -17 (-3.42 + -2.28x) = 0.107x + -17 Reorder the terms: -3.42 + -2.28x = -17 + 0.107x Solving -3.42 + -2.28x = -17 + 0.107x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.107x' to each side of the equation. -3.42 + -2.28x + -0.107x = -17 + 0.107x + -0.107x Combine like terms: -2.28x + -0.107x = -2.387x -3.42 + -2.387x = -17 + 0.107x + -0.107x Combine like terms: 0.107x + -0.107x = 0.000 -3.42 + -2.387x = -17 + 0.000 -3.42 + -2.387x = -17 Add '3.42' to each side of the equation. -3.42 + 3.42 + -2.387x = -17 + 3.42 Combine like terms: -3.42 + 3.42 = 0.00 0.00 + -2.387x = -17 + 3.42 -2.387x = -17 + 3.42 Combine like terms: -17 + 3.42 = -13.58 -2.387x = -13.58 Divide each side by '-2.387'. x = 5.68914956 Simplifying x = 5.68914956
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