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Simplifying 4(x + -6) + 6 = 6x + -8 Reorder the terms: 4(-6 + x) + 6 = 6x + -8 (-6 * 4 + x * 4) + 6 = 6x + -8 (-24 + 4x) + 6 = 6x + -8 Reorder the terms: -24 + 6 + 4x = 6x + -8 Combine like terms: -24 + 6 = -18 -18 + 4x = 6x + -8 Reorder the terms: -18 + 4x = -8 + 6x Solving -18 + 4x = -8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -18 + 4x + -6x = -8 + 6x + -6x Combine like terms: 4x + -6x = -2x -18 + -2x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 -18 + -2x = -8 + 0 -18 + -2x = -8 Add '18' to each side of the equation. -18 + 18 + -2x = -8 + 18 Combine like terms: -18 + 18 = 0 0 + -2x = -8 + 18 -2x = -8 + 18 Combine like terms: -8 + 18 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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