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Simplifying 8(x + 1) + -4(x + -4) + -1x = 2(x + 18) Reorder the terms: 8(1 + x) + -4(x + -4) + -1x = 2(x + 18) (1 * 8 + x * 8) + -4(x + -4) + -1x = 2(x + 18) (8 + 8x) + -4(x + -4) + -1x = 2(x + 18) Reorder the terms: 8 + 8x + -4(-4 + x) + -1x = 2(x + 18) 8 + 8x + (-4 * -4 + x * -4) + -1x = 2(x + 18) 8 + 8x + (16 + -4x) + -1x = 2(x + 18) Reorder the terms: 8 + 16 + 8x + -4x + -1x = 2(x + 18) Combine like terms: 8 + 16 = 24 24 + 8x + -4x + -1x = 2(x + 18) Combine like terms: 8x + -4x = 4x 24 + 4x + -1x = 2(x + 18) Combine like terms: 4x + -1x = 3x 24 + 3x = 2(x + 18) Reorder the terms: 24 + 3x = 2(18 + x) 24 + 3x = (18 * 2 + x * 2) 24 + 3x = (36 + 2x) Solving 24 + 3x = 36 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 24 + 3x + -2x = 36 + 2x + -2x Combine like terms: 3x + -2x = 1x 24 + 1x = 36 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + 1x = 36 + 0 24 + 1x = 36 Add '-24' to each side of the equation. 24 + -24 + 1x = 36 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = 36 + -24 1x = 36 + -24 Combine like terms: 36 + -24 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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