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Simplifying 3(7 + -2x) = 11 + -4(x + 5) (7 * 3 + -2x * 3) = 11 + -4(x + 5) (21 + -6x) = 11 + -4(x + 5) Reorder the terms: 21 + -6x = 11 + -4(5 + x) 21 + -6x = 11 + (5 * -4 + x * -4) 21 + -6x = 11 + (-20 + -4x) Combine like terms: 11 + -20 = -9 21 + -6x = -9 + -4x Solving 21 + -6x = -9 + -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. 21 + -6x + 4x = -9 + -4x + 4x Combine like terms: -6x + 4x = -2x 21 + -2x = -9 + -4x + 4x Combine like terms: -4x + 4x = 0 21 + -2x = -9 + 0 21 + -2x = -9 Add '-21' to each side of the equation. 21 + -21 + -2x = -9 + -21 Combine like terms: 21 + -21 = 0 0 + -2x = -9 + -21 -2x = -9 + -21 Combine like terms: -9 + -21 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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