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Simplifying -42 = 2x + -7(3x + -13) Reorder the terms: -42 = 2x + -7(-13 + 3x) -42 = 2x + (-13 * -7 + 3x * -7) -42 = 2x + (91 + -21x) Reorder the terms: -42 = 91 + 2x + -21x Combine like terms: 2x + -21x = -19x -42 = 91 + -19x Solving -42 = 91 + -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. -42 + 19x = 91 + -19x + 19x Combine like terms: -19x + 19x = 0 -42 + 19x = 91 + 0 -42 + 19x = 91 Add '42' to each side of the equation. -42 + 42 + 19x = 91 + 42 Combine like terms: -42 + 42 = 0 0 + 19x = 91 + 42 19x = 91 + 42 Combine like terms: 91 + 42 = 133 19x = 133 Divide each side by '19'. x = 7 Simplifying x = 7
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