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Simplifying 16 + 7x + -1(5 + -1x) = 11x + -1(3 + x) 16 + 7x + (5 * -1 + -1x * -1) = 11x + -1(3 + x) 16 + 7x + (-5 + 1x) = 11x + -1(3 + x) Reorder the terms: 16 + -5 + 7x + 1x = 11x + -1(3 + x) Combine like terms: 16 + -5 = 11 11 + 7x + 1x = 11x + -1(3 + x) Combine like terms: 7x + 1x = 8x 11 + 8x = 11x + -1(3 + x) 11 + 8x = 11x + (3 * -1 + x * -1) 11 + 8x = 11x + (-3 + -1x) Reorder the terms: 11 + 8x = -3 + 11x + -1x Combine like terms: 11x + -1x = 10x 11 + 8x = -3 + 10x Solving 11 + 8x = -3 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 11 + 8x + -10x = -3 + 10x + -10x Combine like terms: 8x + -10x = -2x 11 + -2x = -3 + 10x + -10x Combine like terms: 10x + -10x = 0 11 + -2x = -3 + 0 11 + -2x = -3 Add '-11' to each side of the equation. 11 + -11 + -2x = -3 + -11 Combine like terms: 11 + -11 = 0 0 + -2x = -3 + -11 -2x = -3 + -11 Combine like terms: -3 + -11 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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