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Simplifying -4x + 38 = -7(-3 + 3x) Reorder the terms: 38 + -4x = -7(-3 + 3x) 38 + -4x = (-3 * -7 + 3x * -7) 38 + -4x = (21 + -21x) Solving 38 + -4x = 21 + -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. 38 + -4x + 21x = 21 + -21x + 21x Combine like terms: -4x + 21x = 17x 38 + 17x = 21 + -21x + 21x Combine like terms: -21x + 21x = 0 38 + 17x = 21 + 0 38 + 17x = 21 Add '-38' to each side of the equation. 38 + -38 + 17x = 21 + -38 Combine like terms: 38 + -38 = 0 0 + 17x = 21 + -38 17x = 21 + -38 Combine like terms: 21 + -38 = -17 17x = -17 Divide each side by '17'. x = -1 Simplifying x = -1
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