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Simplifying -6(x + 4) + -13 = 10 + 7 Reorder the terms: -6(4 + x) + -13 = 10 + 7 (4 * -6 + x * -6) + -13 = 10 + 7 (-24 + -6x) + -13 = 10 + 7 Reorder the terms: -24 + -13 + -6x = 10 + 7 Combine like terms: -24 + -13 = -37 -37 + -6x = 10 + 7 Combine like terms: 10 + 7 = 17 -37 + -6x = 17 Solving -37 + -6x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + -6x = 17 + 37 Combine like terms: -37 + 37 = 0 0 + -6x = 17 + 37 -6x = 17 + 37 Combine like terms: 17 + 37 = 54 -6x = 54 Divide each side by '-6'. x = -9 Simplifying x = -9
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