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Simplifying 6(2x + -4) = 3(-1x + 7) Reorder the terms: 6(-4 + 2x) = 3(-1x + 7) (-4 * 6 + 2x * 6) = 3(-1x + 7) (-24 + 12x) = 3(-1x + 7) Reorder the terms: -24 + 12x = 3(7 + -1x) -24 + 12x = (7 * 3 + -1x * 3) -24 + 12x = (21 + -3x) Solving -24 + 12x = 21 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -24 + 12x + 3x = 21 + -3x + 3x Combine like terms: 12x + 3x = 15x -24 + 15x = 21 + -3x + 3x Combine like terms: -3x + 3x = 0 -24 + 15x = 21 + 0 -24 + 15x = 21 Add '24' to each side of the equation. -24 + 24 + 15x = 21 + 24 Combine like terms: -24 + 24 = 0 0 + 15x = 21 + 24 15x = 21 + 24 Combine like terms: 21 + 24 = 45 15x = 45 Divide each side by '15'. x = 3 Simplifying x = 3
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