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Simplifying 7(3x + 1) = 10(x + -1) Reorder the terms: 7(1 + 3x) = 10(x + -1) (1 * 7 + 3x * 7) = 10(x + -1) (7 + 21x) = 10(x + -1) Reorder the terms: 7 + 21x = 10(-1 + x) 7 + 21x = (-1 * 10 + x * 10) 7 + 21x = (-10 + 10x) Solving 7 + 21x = -10 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 7 + 21x + -10x = -10 + 10x + -10x Combine like terms: 21x + -10x = 11x 7 + 11x = -10 + 10x + -10x Combine like terms: 10x + -10x = 0 7 + 11x = -10 + 0 7 + 11x = -10 Add '-7' to each side of the equation. 7 + -7 + 11x = -10 + -7 Combine like terms: 7 + -7 = 0 0 + 11x = -10 + -7 11x = -10 + -7 Combine like terms: -10 + -7 = -17 11x = -17 Divide each side by '11'. x = -1.545454545 Simplifying x = -1.545454545
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