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Simplifying 8x + -3(3x + 6) = 6x + 41 Reorder the terms: 8x + -3(6 + 3x) = 6x + 41 8x + (6 * -3 + 3x * -3) = 6x + 41 8x + (-18 + -9x) = 6x + 41 Reorder the terms: -18 + 8x + -9x = 6x + 41 Combine like terms: 8x + -9x = -1x -18 + -1x = 6x + 41 Reorder the terms: -18 + -1x = 41 + 6x Solving -18 + -1x = 41 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -18 + -1x + -6x = 41 + 6x + -6x Combine like terms: -1x + -6x = -7x -18 + -7x = 41 + 6x + -6x Combine like terms: 6x + -6x = 0 -18 + -7x = 41 + 0 -18 + -7x = 41 Add '18' to each side of the equation. -18 + 18 + -7x = 41 + 18 Combine like terms: -18 + 18 = 0 0 + -7x = 41 + 18 -7x = 41 + 18 Combine like terms: 41 + 18 = 59 -7x = 59 Divide each side by '-7'. x = -8.428571429 Simplifying x = -8.428571429
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