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Simplifying 3(-5x + -6) = -1(x + 6) + -8x Reorder the terms: 3(-6 + -5x) = -1(x + 6) + -8x (-6 * 3 + -5x * 3) = -1(x + 6) + -8x (-18 + -15x) = -1(x + 6) + -8x Reorder the terms: -18 + -15x = -1(6 + x) + -8x -18 + -15x = (6 * -1 + x * -1) + -8x -18 + -15x = (-6 + -1x) + -8x Combine like terms: -1x + -8x = -9x -18 + -15x = -6 + -9x Solving -18 + -15x = -6 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -18 + -15x + 9x = -6 + -9x + 9x Combine like terms: -15x + 9x = -6x -18 + -6x = -6 + -9x + 9x Combine like terms: -9x + 9x = 0 -18 + -6x = -6 + 0 -18 + -6x = -6 Add '18' to each side of the equation. -18 + 18 + -6x = -6 + 18 Combine like terms: -18 + 18 = 0 0 + -6x = -6 + 18 -6x = -6 + 18 Combine like terms: -6 + 18 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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