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Simplifying 3(7x + 1) = 10(3x + -4) Reorder the terms: 3(1 + 7x) = 10(3x + -4) (1 * 3 + 7x * 3) = 10(3x + -4) (3 + 21x) = 10(3x + -4) Reorder the terms: 3 + 21x = 10(-4 + 3x) 3 + 21x = (-4 * 10 + 3x * 10) 3 + 21x = (-40 + 30x) Solving 3 + 21x = -40 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 3 + 21x + -30x = -40 + 30x + -30x Combine like terms: 21x + -30x = -9x 3 + -9x = -40 + 30x + -30x Combine like terms: 30x + -30x = 0 3 + -9x = -40 + 0 3 + -9x = -40 Add '-3' to each side of the equation. 3 + -3 + -9x = -40 + -3 Combine like terms: 3 + -3 = 0 0 + -9x = -40 + -3 -9x = -40 + -3 Combine like terms: -40 + -3 = -43 -9x = -43 Divide each side by '-9'. x = 4.777777778 Simplifying x = 4.777777778
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