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Simplifying 8 + 8(x + -4) = 5 + -3(x + -1) Reorder the terms: 8 + 8(-4 + x) = 5 + -3(x + -1) 8 + (-4 * 8 + x * 8) = 5 + -3(x + -1) 8 + (-32 + 8x) = 5 + -3(x + -1) Combine like terms: 8 + -32 = -24 -24 + 8x = 5 + -3(x + -1) Reorder the terms: -24 + 8x = 5 + -3(-1 + x) -24 + 8x = 5 + (-1 * -3 + x * -3) -24 + 8x = 5 + (3 + -3x) Combine like terms: 5 + 3 = 8 -24 + 8x = 8 + -3x Solving -24 + 8x = 8 + -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. -24 + 8x + 3x = 8 + -3x + 3x Combine like terms: 8x + 3x = 11x -24 + 11x = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 -24 + 11x = 8 + 0 -24 + 11x = 8 Add '24' to each side of the equation. -24 + 24 + 11x = 8 + 24 Combine like terms: -24 + 24 = 0 0 + 11x = 8 + 24 11x = 8 + 24 Combine like terms: 8 + 24 = 32 11x = 32 Divide each side by '11'. x = 2.909090909 Simplifying x = 2.909090909
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