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Simplifying 4x + -3(7x + -7) = 2 + -3(x + -3) Reorder the terms: 4x + -3(-7 + 7x) = 2 + -3(x + -3) 4x + (-7 * -3 + 7x * -3) = 2 + -3(x + -3) 4x + (21 + -21x) = 2 + -3(x + -3) Reorder the terms: 21 + 4x + -21x = 2 + -3(x + -3) Combine like terms: 4x + -21x = -17x 21 + -17x = 2 + -3(x + -3) Reorder the terms: 21 + -17x = 2 + -3(-3 + x) 21 + -17x = 2 + (-3 * -3 + x * -3) 21 + -17x = 2 + (9 + -3x) Combine like terms: 2 + 9 = 11 21 + -17x = 11 + -3x Solving 21 + -17x = 11 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 21 + -17x + 3x = 11 + -3x + 3x Combine like terms: -17x + 3x = -14x 21 + -14x = 11 + -3x + 3x Combine like terms: -3x + 3x = 0 21 + -14x = 11 + 0 21 + -14x = 11 Add '-21' to each side of the equation. 21 + -21 + -14x = 11 + -21 Combine like terms: 21 + -21 = 0 0 + -14x = 11 + -21 -14x = 11 + -21 Combine like terms: 11 + -21 = -10 -14x = -10 Divide each side by '-14'. x = 0.7142857143 Simplifying x = 0.7142857143
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