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Simplifying 6(x + -4) + -8 = 4x + 6 Reorder the terms: 6(-4 + x) + -8 = 4x + 6 (-4 * 6 + x * 6) + -8 = 4x + 6 (-24 + 6x) + -8 = 4x + 6 Reorder the terms: -24 + -8 + 6x = 4x + 6 Combine like terms: -24 + -8 = -32 -32 + 6x = 4x + 6 Reorder the terms: -32 + 6x = 6 + 4x Solving -32 + 6x = 6 + 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. -32 + 6x + -4x = 6 + 4x + -4x Combine like terms: 6x + -4x = 2x -32 + 2x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -32 + 2x = 6 + 0 -32 + 2x = 6 Add '32' to each side of the equation. -32 + 32 + 2x = 6 + 32 Combine like terms: -32 + 32 = 0 0 + 2x = 6 + 32 2x = 6 + 32 Combine like terms: 6 + 32 = 38 2x = 38 Divide each side by '2'. x = 19 Simplifying x = 19
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