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Simplifying (-42 + 6x) + x = 15 + -1(-9x + -5) Remove parenthesis around (-42 + 6x) -42 + 6x + x = 15 + -1(-9x + -5) Combine like terms: 6x + x = 7x -42 + 7x = 15 + -1(-9x + -5) Reorder the terms: -42 + 7x = 15 + -1(-5 + -9x) -42 + 7x = 15 + (-5 * -1 + -9x * -1) -42 + 7x = 15 + (5 + 9x) Combine like terms: 15 + 5 = 20 -42 + 7x = 20 + 9x Solving -42 + 7x = 20 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -42 + 7x + -9x = 20 + 9x + -9x Combine like terms: 7x + -9x = -2x -42 + -2x = 20 + 9x + -9x Combine like terms: 9x + -9x = 0 -42 + -2x = 20 + 0 -42 + -2x = 20 Add '42' to each side of the equation. -42 + 42 + -2x = 20 + 42 Combine like terms: -42 + 42 = 0 0 + -2x = 20 + 42 -2x = 20 + 42 Combine like terms: 20 + 42 = 62 -2x = 62 Divide each side by '-2'. x = -31 Simplifying x = -31
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