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Simplifying -8(3x + -4) = -2(11x + -6) Reorder the terms: -8(-4 + 3x) = -2(11x + -6) (-4 * -8 + 3x * -8) = -2(11x + -6) (32 + -24x) = -2(11x + -6) Reorder the terms: 32 + -24x = -2(-6 + 11x) 32 + -24x = (-6 * -2 + 11x * -2) 32 + -24x = (12 + -22x) Solving 32 + -24x = 12 + -22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22x' to each side of the equation. 32 + -24x + 22x = 12 + -22x + 22x Combine like terms: -24x + 22x = -2x 32 + -2x = 12 + -22x + 22x Combine like terms: -22x + 22x = 0 32 + -2x = 12 + 0 32 + -2x = 12 Add '-32' to each side of the equation. 32 + -32 + -2x = 12 + -32 Combine like terms: 32 + -32 = 0 0 + -2x = 12 + -32 -2x = 12 + -32 Combine like terms: 12 + -32 = -20 -2x = -20 Divide each side by '-2'. x = 10 Simplifying x = 10
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