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Simplifying 6(-5x + -2) = -8(x + -4) Reorder the terms: 6(-2 + -5x) = -8(x + -4) (-2 * 6 + -5x * 6) = -8(x + -4) (-12 + -30x) = -8(x + -4) Reorder the terms: -12 + -30x = -8(-4 + x) -12 + -30x = (-4 * -8 + x * -8) -12 + -30x = (32 + -8x) Solving -12 + -30x = 32 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -12 + -30x + 8x = 32 + -8x + 8x Combine like terms: -30x + 8x = -22x -12 + -22x = 32 + -8x + 8x Combine like terms: -8x + 8x = 0 -12 + -22x = 32 + 0 -12 + -22x = 32 Add '12' to each side of the equation. -12 + 12 + -22x = 32 + 12 Combine like terms: -12 + 12 = 0 0 + -22x = 32 + 12 -22x = 32 + 12 Combine like terms: 32 + 12 = 44 -22x = 44 Divide each side by '-22'. x = -2 Simplifying x = -2
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