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Simplifying 2(4x + -8) + 6(5x + 2) = 6(4x + 9) * 3 Reorder the terms: 2(-8 + 4x) + 6(5x + 2) = 6(4x + 9) * 3 (-8 * 2 + 4x * 2) + 6(5x + 2) = 6(4x + 9) * 3 (-16 + 8x) + 6(5x + 2) = 6(4x + 9) * 3 Reorder the terms: -16 + 8x + 6(2 + 5x) = 6(4x + 9) * 3 -16 + 8x + (2 * 6 + 5x * 6) = 6(4x + 9) * 3 -16 + 8x + (12 + 30x) = 6(4x + 9) * 3 Reorder the terms: -16 + 12 + 8x + 30x = 6(4x + 9) * 3 Combine like terms: -16 + 12 = -4 -4 + 8x + 30x = 6(4x + 9) * 3 Combine like terms: 8x + 30x = 38x -4 + 38x = 6(4x + 9) * 3 Reorder the terms: -4 + 38x = 6(9 + 4x) * 3 Reorder the terms for easier multiplication: -4 + 38x = 6 * 3(9 + 4x) Multiply 6 * 3 -4 + 38x = 18(9 + 4x) -4 + 38x = (9 * 18 + 4x * 18) -4 + 38x = (162 + 72x) Solving -4 + 38x = 162 + 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. -4 + 38x + -72x = 162 + 72x + -72x Combine like terms: 38x + -72x = -34x -4 + -34x = 162 + 72x + -72x Combine like terms: 72x + -72x = 0 -4 + -34x = 162 + 0 -4 + -34x = 162 Add '4' to each side of the equation. -4 + 4 + -34x = 162 + 4 Combine like terms: -4 + 4 = 0 0 + -34x = 162 + 4 -34x = 162 + 4 Combine like terms: 162 + 4 = 166 -34x = 166 Divide each side by '-34'. x = -4.882352941 Simplifying x = -4.882352941
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