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Simplifying 3(2x + -8) = 3 + -4(3 + -1x) Reorder the terms: 3(-8 + 2x) = 3 + -4(3 + -1x) (-8 * 3 + 2x * 3) = 3 + -4(3 + -1x) (-24 + 6x) = 3 + -4(3 + -1x) -24 + 6x = 3 + (3 * -4 + -1x * -4) -24 + 6x = 3 + (-12 + 4x) Combine like terms: 3 + -12 = -9 -24 + 6x = -9 + 4x Solving -24 + 6x = -9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -24 + 6x + -4x = -9 + 4x + -4x Combine like terms: 6x + -4x = 2x -24 + 2x = -9 + 4x + -4x Combine like terms: 4x + -4x = 0 -24 + 2x = -9 + 0 -24 + 2x = -9 Add '24' to each side of the equation. -24 + 24 + 2x = -9 + 24 Combine like terms: -24 + 24 = 0 0 + 2x = -9 + 24 2x = -9 + 24 Combine like terms: -9 + 24 = 15 2x = 15 Divide each side by '2'. x = 7.5 Simplifying x = 7.5
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