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Simplifying 6(2x + -4) + -8x = 2(x + 7) Reorder the terms: 6(-4 + 2x) + -8x = 2(x + 7) (-4 * 6 + 2x * 6) + -8x = 2(x + 7) (-24 + 12x) + -8x = 2(x + 7) Combine like terms: 12x + -8x = 4x -24 + 4x = 2(x + 7) Reorder the terms: -24 + 4x = 2(7 + x) -24 + 4x = (7 * 2 + x * 2) -24 + 4x = (14 + 2x) Solving -24 + 4x = 14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -24 + 4x + -2x = 14 + 2x + -2x Combine like terms: 4x + -2x = 2x -24 + 2x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + 2x = 14 + 0 -24 + 2x = 14 Add '24' to each side of the equation. -24 + 24 + 2x = 14 + 24 Combine like terms: -24 + 24 = 0 0 + 2x = 14 + 24 2x = 14 + 24 Combine like terms: 14 + 24 = 38 2x = 38 Divide each side by '2'. x = 19 Simplifying x = 19
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