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Simplifying 5 + 2(x + 8) = -11 + -4(2x + 2) Reorder the terms: 5 + 2(8 + x) = -11 + -4(2x + 2) 5 + (8 * 2 + x * 2) = -11 + -4(2x + 2) 5 + (16 + 2x) = -11 + -4(2x + 2) Combine like terms: 5 + 16 = 21 21 + 2x = -11 + -4(2x + 2) Reorder the terms: 21 + 2x = -11 + -4(2 + 2x) 21 + 2x = -11 + (2 * -4 + 2x * -4) 21 + 2x = -11 + (-8 + -8x) Combine like terms: -11 + -8 = -19 21 + 2x = -19 + -8x Solving 21 + 2x = -19 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 21 + 2x + 8x = -19 + -8x + 8x Combine like terms: 2x + 8x = 10x 21 + 10x = -19 + -8x + 8x Combine like terms: -8x + 8x = 0 21 + 10x = -19 + 0 21 + 10x = -19 Add '-21' to each side of the equation. 21 + -21 + 10x = -19 + -21 Combine like terms: 21 + -21 = 0 0 + 10x = -19 + -21 10x = -19 + -21 Combine like terms: -19 + -21 = -40 10x = -40 Divide each side by '10'. x = -4 Simplifying x = -4
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