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Simplifying 11 + -8(x + 1) = 9 + -1(x + 3) Reorder the terms: 11 + -8(1 + x) = 9 + -1(x + 3) 11 + (1 * -8 + x * -8) = 9 + -1(x + 3) 11 + (-8 + -8x) = 9 + -1(x + 3) Combine like terms: 11 + -8 = 3 3 + -8x = 9 + -1(x + 3) Reorder the terms: 3 + -8x = 9 + -1(3 + x) 3 + -8x = 9 + (3 * -1 + x * -1) 3 + -8x = 9 + (-3 + -1x) Combine like terms: 9 + -3 = 6 3 + -8x = 6 + -1x Solving 3 + -8x = 6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 3 + -8x + x = 6 + -1x + x Combine like terms: -8x + x = -7x 3 + -7x = 6 + -1x + x Combine like terms: -1x + x = 0 3 + -7x = 6 + 0 3 + -7x = 6 Add '-3' to each side of the equation. 3 + -3 + -7x = 6 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = 6 + -3 -7x = 6 + -3 Combine like terms: 6 + -3 = 3 -7x = 3 Divide each side by '-7'. x = -0.4285714286 Simplifying x = -0.4285714286
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