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Simplifying 1 + 8(x + -1) = 5 + -3(x + -2) Reorder the terms: 1 + 8(-1 + x) = 5 + -3(x + -2) 1 + (-1 * 8 + x * 8) = 5 + -3(x + -2) 1 + (-8 + 8x) = 5 + -3(x + -2) Combine like terms: 1 + -8 = -7 -7 + 8x = 5 + -3(x + -2) Reorder the terms: -7 + 8x = 5 + -3(-2 + x) -7 + 8x = 5 + (-2 * -3 + x * -3) -7 + 8x = 5 + (6 + -3x) Combine like terms: 5 + 6 = 11 -7 + 8x = 11 + -3x Solving -7 + 8x = 11 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -7 + 8x + 3x = 11 + -3x + 3x Combine like terms: 8x + 3x = 11x -7 + 11x = 11 + -3x + 3x Combine like terms: -3x + 3x = 0 -7 + 11x = 11 + 0 -7 + 11x = 11 Add '7' to each side of the equation. -7 + 7 + 11x = 11 + 7 Combine like terms: -7 + 7 = 0 0 + 11x = 11 + 7 11x = 11 + 7 Combine like terms: 11 + 7 = 18 11x = 18 Divide each side by '11'. x = 1.636363636 Simplifying x = 1.636363636
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