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Simplifying 4(x + -6) + 8 = (x + 2) + -8 Reorder the terms: 4(-6 + x) + 8 = (x + 2) + -8 (-6 * 4 + x * 4) + 8 = (x + 2) + -8 (-24 + 4x) + 8 = (x + 2) + -8 Reorder the terms: -24 + 8 + 4x = (x + 2) + -8 Combine like terms: -24 + 8 = -16 -16 + 4x = (x + 2) + -8 Reorder the terms: -16 + 4x = (2 + x) + -8 Remove parenthesis around (2 + x) -16 + 4x = 2 + x + -8 Reorder the terms: -16 + 4x = 2 + -8 + x Combine like terms: 2 + -8 = -6 -16 + 4x = -6 + x Solving -16 + 4x = -6 + 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 = -6 + x + -1x Combine like terms: 4x + -1x = 3x -16 + 3x = -6 + x + -1x Combine like terms: x + -1x = 0 -16 + 3x = -6 + 0 -16 + 3x = -6 Add '16' to each side of the equation. -16 + 16 + 3x = -6 + 16 Combine like terms: -16 + 16 = 0 0 + 3x = -6 + 16 3x = -6 + 16 Combine like terms: -6 + 16 = 10 3x = 10 Divide each side by '3'. x = 3.333333333 Simplifying x = 3.333333333
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