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Simplifying 4(x + -6) + 6 = (x + 2) + -10 Reorder the terms: 4(-6 + x) + 6 = (x + 2) + -10 (-6 * 4 + x * 4) + 6 = (x + 2) + -10 (-24 + 4x) + 6 = (x + 2) + -10 Reorder the terms: -24 + 6 + 4x = (x + 2) + -10 Combine like terms: -24 + 6 = -18 -18 + 4x = (x + 2) + -10 Reorder the terms: -18 + 4x = (2 + x) + -10 Remove parenthesis around (2 + x) -18 + 4x = 2 + x + -10 Reorder the terms: -18 + 4x = 2 + -10 + x Combine like terms: 2 + -10 = -8 -18 + 4x = -8 + x Solving -18 + 4x = -8 + 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. -18 + 4x + -1x = -8 + x + -1x Combine like terms: 4x + -1x = 3x -18 + 3x = -8 + x + -1x Combine like terms: x + -1x = 0 -18 + 3x = -8 + 0 -18 + 3x = -8 Add '18' to each side of the equation. -18 + 18 + 3x = -8 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = -8 + 18 3x = -8 + 18 Combine like terms: -8 + 18 = 10 3x = 10 Divide each side by '3'. x = 3.333333333 Simplifying x = 3.333333333
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