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Simplifying 3(7x + -5) = 4(3x + -11) Reorder the terms: 3(-5 + 7x) = 4(3x + -11) (-5 * 3 + 7x * 3) = 4(3x + -11) (-15 + 21x) = 4(3x + -11) Reorder the terms: -15 + 21x = 4(-11 + 3x) -15 + 21x = (-11 * 4 + 3x * 4) -15 + 21x = (-44 + 12x) Solving -15 + 21x = -44 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -15 + 21x + -12x = -44 + 12x + -12x Combine like terms: 21x + -12x = 9x -15 + 9x = -44 + 12x + -12x Combine like terms: 12x + -12x = 0 -15 + 9x = -44 + 0 -15 + 9x = -44 Add '15' to each side of the equation. -15 + 15 + 9x = -44 + 15 Combine like terms: -15 + 15 = 0 0 + 9x = -44 + 15 9x = -44 + 15 Combine like terms: -44 + 15 = -29 9x = -29 Divide each side by '9'. x = -3.222222222 Simplifying x = -3.222222222
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