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Simplifying 5x + 3(x + 7) = 11 + -1(2x + 5) Reorder the terms: 5x + 3(7 + x) = 11 + -1(2x + 5) 5x + (7 * 3 + x * 3) = 11 + -1(2x + 5) 5x + (21 + 3x) = 11 + -1(2x + 5) Reorder the terms: 21 + 5x + 3x = 11 + -1(2x + 5) Combine like terms: 5x + 3x = 8x 21 + 8x = 11 + -1(2x + 5) Reorder the terms: 21 + 8x = 11 + -1(5 + 2x) 21 + 8x = 11 + (5 * -1 + 2x * -1) 21 + 8x = 11 + (-5 + -2x) Combine like terms: 11 + -5 = 6 21 + 8x = 6 + -2x Solving 21 + 8x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 21 + 8x + 2x = 6 + -2x + 2x Combine like terms: 8x + 2x = 10x 21 + 10x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 21 + 10x = 6 + 0 21 + 10x = 6 Add '-21' to each side of the equation. 21 + -21 + 10x = 6 + -21 Combine like terms: 21 + -21 = 0 0 + 10x = 6 + -21 10x = 6 + -21 Combine like terms: 6 + -21 = -15 10x = -15 Divide each side by '10'. x = -1.5 Simplifying x = -1.5
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