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Simplifying 79 + -5(x + 20) = 111 + -8(x + 3) Reorder the terms: 79 + -5(20 + x) = 111 + -8(x + 3) 79 + (20 * -5 + x * -5) = 111 + -8(x + 3) 79 + (-100 + -5x) = 111 + -8(x + 3) Combine like terms: 79 + -100 = -21 -21 + -5x = 111 + -8(x + 3) Reorder the terms: -21 + -5x = 111 + -8(3 + x) -21 + -5x = 111 + (3 * -8 + x * -8) -21 + -5x = 111 + (-24 + -8x) Combine like terms: 111 + -24 = 87 -21 + -5x = 87 + -8x Solving -21 + -5x = 87 + -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 + -5x + 8x = 87 + -8x + 8x Combine like terms: -5x + 8x = 3x -21 + 3x = 87 + -8x + 8x Combine like terms: -8x + 8x = 0 -21 + 3x = 87 + 0 -21 + 3x = 87 Add '21' to each side of the equation. -21 + 21 + 3x = 87 + 21 Combine like terms: -21 + 21 = 0 0 + 3x = 87 + 21 3x = 87 + 21 Combine like terms: 87 + 21 = 108 3x = 108 Divide each side by '3'. x = 36 Simplifying x = 36
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