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Simplifying 8 + 4(2x + -1) = 5 + -1(x + 3) Reorder the terms: 8 + 4(-1 + 2x) = 5 + -1(x + 3) 8 + (-1 * 4 + 2x * 4) = 5 + -1(x + 3) 8 + (-4 + 8x) = 5 + -1(x + 3) Combine like terms: 8 + -4 = 4 4 + 8x = 5 + -1(x + 3) Reorder the terms: 4 + 8x = 5 + -1(3 + x) 4 + 8x = 5 + (3 * -1 + x * -1) 4 + 8x = 5 + (-3 + -1x) Combine like terms: 5 + -3 = 2 4 + 8x = 2 + -1x Solving 4 + 8x = 2 + -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. 4 + 8x + x = 2 + -1x + x Combine like terms: 8x + x = 9x 4 + 9x = 2 + -1x + x Combine like terms: -1x + x = 0 4 + 9x = 2 + 0 4 + 9x = 2 Add '-4' to each side of the equation. 4 + -4 + 9x = 2 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = 2 + -4 9x = 2 + -4 Combine like terms: 2 + -4 = -2 9x = -2 Divide each side by '9'. x = -0.2222222222 Simplifying x = -0.2222222222
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