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Simplifying X + -2(x + 4) = 8(x + -3) + 2 Reorder the terms: X + -2(4 + x) = 8(x + -3) + 2 X + (4 * -2 + x * -2) = 8(x + -3) + 2 X + (-8 + -2x) = 8(x + -3) + 2 Reorder the terms: -8 + X + -2x = 8(x + -3) + 2 Reorder the terms: -8 + X + -2x = 8(-3 + x) + 2 -8 + X + -2x = (-3 * 8 + x * 8) + 2 -8 + X + -2x = (-24 + 8x) + 2 Reorder the terms: -8 + X + -2x = -24 + 2 + 8x Combine like terms: -24 + 2 = -22 -8 + X + -2x = -22 + 8x Solving -8 + X + -2x = -22 + 8x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '8' to each side of the equation. -8 + X + 8 + -2x = -22 + 8 + 8x Reorder the terms: -8 + 8 + X + -2x = -22 + 8 + 8x Combine like terms: -8 + 8 = 0 0 + X + -2x = -22 + 8 + 8x X + -2x = -22 + 8 + 8x Combine like terms: -22 + 8 = -14 X + -2x = -14 + 8x Add '2x' to each side of the equation. X + -2x + 2x = -14 + 8x + 2x Combine like terms: -2x + 2x = 0 X + 0 = -14 + 8x + 2x X = -14 + 8x + 2x Combine like terms: 8x + 2x = 10x X = -14 + 10x Simplifying X = -14 + 10x
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