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Simplifying 4(x + -6) + 6 = 8x + -2 Reorder the terms: 4(-6 + x) + 6 = 8x + -2 (-6 * 4 + x * 4) + 6 = 8x + -2 (-24 + 4x) + 6 = 8x + -2 Reorder the terms: -24 + 6 + 4x = 8x + -2 Combine like terms: -24 + 6 = -18 -18 + 4x = 8x + -2 Reorder the terms: -18 + 4x = -2 + 8x Solving -18 + 4x = -2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -18 + 4x + -8x = -2 + 8x + -8x Combine like terms: 4x + -8x = -4x -18 + -4x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 -18 + -4x = -2 + 0 -18 + -4x = -2 Add '18' to each side of the equation. -18 + 18 + -4x = -2 + 18 Combine like terms: -18 + 18 = 0 0 + -4x = -2 + 18 -4x = -2 + 18 Combine like terms: -2 + 18 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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