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Simplifying 4(x + -6) + 8 = (x + 2) + -4 Reorder the terms: 4(-6 + x) + 8 = (x + 2) + -4 (-6 * 4 + x * 4) + 8 = (x + 2) + -4 (-24 + 4x) + 8 = (x + 2) + -4 Reorder the terms: -24 + 8 + 4x = (x + 2) + -4 Combine like terms: -24 + 8 = -16 -16 + 4x = (x + 2) + -4 Reorder the terms: -16 + 4x = (2 + x) + -4 Remove parenthesis around (2 + x) -16 + 4x = 2 + x + -4 Reorder the terms: -16 + 4x = 2 + -4 + x Combine like terms: 2 + -4 = -2 -16 + 4x = -2 + x Solving -16 + 4x = -2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -16 + 4x + -1x = -2 + x + -1x Combine like terms: 4x + -1x = 3x -16 + 3x = -2 + x + -1x Combine like terms: x + -1x = 0 -16 + 3x = -2 + 0 -16 + 3x = -2 Add '16' to each side of the equation. -16 + 16 + 3x = -2 + 16 Combine like terms: -16 + 16 = 0 0 + 3x = -2 + 16 3x = -2 + 16 Combine like terms: -2 + 16 = 14 3x = 14 Divide each side by '3'. x = 4.666666667 Simplifying x = 4.666666667
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