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Simplifying 3 + -2(6 + -4x) = 2 + 3(3x + -6) + -5 3 + (6 * -2 + -4x * -2) = 2 + 3(3x + -6) + -5 3 + (-12 + 8x) = 2 + 3(3x + -6) + -5 Combine like terms: 3 + -12 = -9 -9 + 8x = 2 + 3(3x + -6) + -5 Reorder the terms: -9 + 8x = 2 + 3(-6 + 3x) + -5 -9 + 8x = 2 + (-6 * 3 + 3x * 3) + -5 -9 + 8x = 2 + (-18 + 9x) + -5 Reorder the terms: -9 + 8x = 2 + -18 + -5 + 9x Combine like terms: 2 + -18 = -16 -9 + 8x = -16 + -5 + 9x Combine like terms: -16 + -5 = -21 -9 + 8x = -21 + 9x Solving -9 + 8x = -21 + 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. -9 + 8x + -9x = -21 + 9x + -9x Combine like terms: 8x + -9x = -1x -9 + -1x = -21 + 9x + -9x Combine like terms: 9x + -9x = 0 -9 + -1x = -21 + 0 -9 + -1x = -21 Add '9' to each side of the equation. -9 + 9 + -1x = -21 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = -21 + 9 -1x = -21 + 9 Combine like terms: -21 + 9 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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