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Simplifying 4(9 + -1x) = 3(2x + -8) (9 * 4 + -1x * 4) = 3(2x + -8) (36 + -4x) = 3(2x + -8) Reorder the terms: 36 + -4x = 3(-8 + 2x) 36 + -4x = (-8 * 3 + 2x * 3) 36 + -4x = (-24 + 6x) Solving 36 + -4x = -24 + 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. 36 + -4x + -6x = -24 + 6x + -6x Combine like terms: -4x + -6x = -10x 36 + -10x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 36 + -10x = -24 + 0 36 + -10x = -24 Add '-36' to each side of the equation. 36 + -36 + -10x = -24 + -36 Combine like terms: 36 + -36 = 0 0 + -10x = -24 + -36 -10x = -24 + -36 Combine like terms: -24 + -36 = -60 -10x = -60 Divide each side by '-10'. x = 6 Simplifying x = 6
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