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Simplifying 8(x + 1) = 4 + -1(x + 3) Reorder the terms: 8(1 + x) = 4 + -1(x + 3) (1 * 8 + x * 8) = 4 + -1(x + 3) (8 + 8x) = 4 + -1(x + 3) Reorder the terms: 8 + 8x = 4 + -1(3 + x) 8 + 8x = 4 + (3 * -1 + x * -1) 8 + 8x = 4 + (-3 + -1x) Combine like terms: 4 + -3 = 1 8 + 8x = 1 + -1x Solving 8 + 8x = 1 + -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. 8 + 8x + x = 1 + -1x + x Combine like terms: 8x + x = 9x 8 + 9x = 1 + -1x + x Combine like terms: -1x + x = 0 8 + 9x = 1 + 0 8 + 9x = 1 Add '-8' to each side of the equation. 8 + -8 + 9x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 9x = 1 + -8 9x = 1 + -8 Combine like terms: 1 + -8 = -7 9x = -7 Divide each side by '9'. x = -0.7777777778 Simplifying x = -0.7777777778
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