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Simplifying 7(3x + 1) = 4x + -10 Reorder the terms: 7(1 + 3x) = 4x + -10 (1 * 7 + 3x * 7) = 4x + -10 (7 + 21x) = 4x + -10 Reorder the terms: 7 + 21x = -10 + 4x Solving 7 + 21x = -10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 7 + 21x + -4x = -10 + 4x + -4x Combine like terms: 21x + -4x = 17x 7 + 17x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + 17x = -10 + 0 7 + 17x = -10 Add '-7' to each side of the equation. 7 + -7 + 17x = -10 + -7 Combine like terms: 7 + -7 = 0 0 + 17x = -10 + -7 17x = -10 + -7 Combine like terms: -10 + -7 = -17 17x = -17 Divide each side by '17'. x = -1 Simplifying x = -1
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