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Simplifying 4(-2x + -8) = 6(x + 18) Reorder the terms: 4(-8 + -2x) = 6(x + 18) (-8 * 4 + -2x * 4) = 6(x + 18) (-32 + -8x) = 6(x + 18) Reorder the terms: -32 + -8x = 6(18 + x) -32 + -8x = (18 * 6 + x * 6) -32 + -8x = (108 + 6x) Solving -32 + -8x = 108 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -32 + -8x + -6x = 108 + 6x + -6x Combine like terms: -8x + -6x = -14x -32 + -14x = 108 + 6x + -6x Combine like terms: 6x + -6x = 0 -32 + -14x = 108 + 0 -32 + -14x = 108 Add '32' to each side of the equation. -32 + 32 + -14x = 108 + 32 Combine like terms: -32 + 32 = 0 0 + -14x = 108 + 32 -14x = 108 + 32 Combine like terms: 108 + 32 = 140 -14x = 140 Divide each side by '-14'. x = -10 Simplifying x = -10
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