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Simplifying -2(x + -1) + -8(x + 4) = 18 + -3(x + -1) Reorder the terms: -2(-1 + x) + -8(x + 4) = 18 + -3(x + -1) (-1 * -2 + x * -2) + -8(x + 4) = 18 + -3(x + -1) (2 + -2x) + -8(x + 4) = 18 + -3(x + -1) Reorder the terms: 2 + -2x + -8(4 + x) = 18 + -3(x + -1) 2 + -2x + (4 * -8 + x * -8) = 18 + -3(x + -1) 2 + -2x + (-32 + -8x) = 18 + -3(x + -1) Reorder the terms: 2 + -32 + -2x + -8x = 18 + -3(x + -1) Combine like terms: 2 + -32 = -30 -30 + -2x + -8x = 18 + -3(x + -1) Combine like terms: -2x + -8x = -10x -30 + -10x = 18 + -3(x + -1) Reorder the terms: -30 + -10x = 18 + -3(-1 + x) -30 + -10x = 18 + (-1 * -3 + x * -3) -30 + -10x = 18 + (3 + -3x) Combine like terms: 18 + 3 = 21 -30 + -10x = 21 + -3x Solving -30 + -10x = 21 + -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. -30 + -10x + 3x = 21 + -3x + 3x Combine like terms: -10x + 3x = -7x -30 + -7x = 21 + -3x + 3x Combine like terms: -3x + 3x = 0 -30 + -7x = 21 + 0 -30 + -7x = 21 Add '30' to each side of the equation. -30 + 30 + -7x = 21 + 30 Combine like terms: -30 + 30 = 0 0 + -7x = 21 + 30 -7x = 21 + 30 Combine like terms: 21 + 30 = 51 -7x = 51 Divide each side by '-7'. x = -7.285714286 Simplifying x = -7.285714286
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