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Simplifying 37 + -2x = 6 + 7(-3x + -1) Reorder the terms: 37 + -2x = 6 + 7(-1 + -3x) 37 + -2x = 6 + (-1 * 7 + -3x * 7) 37 + -2x = 6 + (-7 + -21x) Combine like terms: 6 + -7 = -1 37 + -2x = -1 + -21x Solving 37 + -2x = -1 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. 37 + -2x + 21x = -1 + -21x + 21x Combine like terms: -2x + 21x = 19x 37 + 19x = -1 + -21x + 21x Combine like terms: -21x + 21x = 0 37 + 19x = -1 + 0 37 + 19x = -1 Add '-37' to each side of the equation. 37 + -37 + 19x = -1 + -37 Combine like terms: 37 + -37 = 0 0 + 19x = -1 + -37 19x = -1 + -37 Combine like terms: -1 + -37 = -38 19x = -38 Divide each side by '19'. x = -2 Simplifying x = -2
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