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Simplifying -8(1x + -4) = -6(2x + 5) Reorder the terms: -8(-4 + 1x) = -6(2x + 5) (-4 * -8 + 1x * -8) = -6(2x + 5) (32 + -8x) = -6(2x + 5) Reorder the terms: 32 + -8x = -6(5 + 2x) 32 + -8x = (5 * -6 + 2x * -6) 32 + -8x = (-30 + -12x) Solving 32 + -8x = -30 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 32 + -8x + 12x = -30 + -12x + 12x Combine like terms: -8x + 12x = 4x 32 + 4x = -30 + -12x + 12x Combine like terms: -12x + 12x = 0 32 + 4x = -30 + 0 32 + 4x = -30 Add '-32' to each side of the equation. 32 + -32 + 4x = -30 + -32 Combine like terms: 32 + -32 = 0 0 + 4x = -30 + -32 4x = -30 + -32 Combine like terms: -30 + -32 = -62 4x = -62 Divide each side by '4'. x = -15.5 Simplifying x = -15.5
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