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Simplifying -6(x + 2) + -42 = 5 + -23 Reorder the terms: -6(2 + x) + -42 = 5 + -23 (2 * -6 + x * -6) + -42 = 5 + -23 (-12 + -6x) + -42 = 5 + -23 Reorder the terms: -12 + -42 + -6x = 5 + -23 Combine like terms: -12 + -42 = -54 -54 + -6x = 5 + -23 Combine like terms: 5 + -23 = -18 -54 + -6x = -18 Solving -54 + -6x = -18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + -6x = -18 + 54 Combine like terms: -54 + 54 = 0 0 + -6x = -18 + 54 -6x = -18 + 54 Combine like terms: -18 + 54 = 36 -6x = 36 Divide each side by '-6'. x = -6 Simplifying x = -6
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