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Simplifying 6(x + -2) + -9 = -3(-8x + 2) + -6x Reorder the terms: 6(-2 + x) + -9 = -3(-8x + 2) + -6x (-2 * 6 + x * 6) + -9 = -3(-8x + 2) + -6x (-12 + 6x) + -9 = -3(-8x + 2) + -6x Reorder the terms: -12 + -9 + 6x = -3(-8x + 2) + -6x Combine like terms: -12 + -9 = -21 -21 + 6x = -3(-8x + 2) + -6x Reorder the terms: -21 + 6x = -3(2 + -8x) + -6x -21 + 6x = (2 * -3 + -8x * -3) + -6x -21 + 6x = (-6 + 24x) + -6x Combine like terms: 24x + -6x = 18x -21 + 6x = -6 + 18x Solving -21 + 6x = -6 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -21 + 6x + -18x = -6 + 18x + -18x Combine like terms: 6x + -18x = -12x -21 + -12x = -6 + 18x + -18x Combine like terms: 18x + -18x = 0 -21 + -12x = -6 + 0 -21 + -12x = -6 Add '21' to each side of the equation. -21 + 21 + -12x = -6 + 21 Combine like terms: -21 + 21 = 0 0 + -12x = -6 + 21 -12x = -6 + 21 Combine like terms: -6 + 21 = 15 -12x = 15 Divide each side by '-12'. x = -1.25 Simplifying x = -1.25
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