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Simplifying 6(x + -3) + -6 = 15x + -123 Reorder the terms: 6(-3 + x) + -6 = 15x + -123 (-3 * 6 + x * 6) + -6 = 15x + -123 (-18 + 6x) + -6 = 15x + -123 Reorder the terms: -18 + -6 + 6x = 15x + -123 Combine like terms: -18 + -6 = -24 -24 + 6x = 15x + -123 Reorder the terms: -24 + 6x = -123 + 15x Solving -24 + 6x = -123 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -24 + 6x + -15x = -123 + 15x + -15x Combine like terms: 6x + -15x = -9x -24 + -9x = -123 + 15x + -15x Combine like terms: 15x + -15x = 0 -24 + -9x = -123 + 0 -24 + -9x = -123 Add '24' to each side of the equation. -24 + 24 + -9x = -123 + 24 Combine like terms: -24 + 24 = 0 0 + -9x = -123 + 24 -9x = -123 + 24 Combine like terms: -123 + 24 = -99 -9x = -99 Divide each side by '-9'. x = 11 Simplifying x = 11
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