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Simplifying X + -3 + -8x + -4 = -1(1 + x) + -2(1 + 4x) Reorder the terms: -3 + -4 + X + -8x = -1(1 + x) + -2(1 + 4x) Combine like terms: -3 + -4 = -7 -7 + X + -8x = -1(1 + x) + -2(1 + 4x) -7 + X + -8x = (1 * -1 + x * -1) + -2(1 + 4x) -7 + X + -8x = (-1 + -1x) + -2(1 + 4x) -7 + X + -8x = -1 + -1x + (1 * -2 + 4x * -2) -7 + X + -8x = -1 + -1x + (-2 + -8x) Reorder the terms: -7 + X + -8x = -1 + -2 + -1x + -8x Combine like terms: -1 + -2 = -3 -7 + X + -8x = -3 + -1x + -8x Combine like terms: -1x + -8x = -9x -7 + X + -8x = -3 + -9x Solving -7 + X + -8x = -3 + -9x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '7' to each side of the equation. -7 + X + 7 + -8x = -3 + 7 + -9x Reorder the terms: -7 + 7 + X + -8x = -3 + 7 + -9x Combine like terms: -7 + 7 = 0 0 + X + -8x = -3 + 7 + -9x X + -8x = -3 + 7 + -9x Combine like terms: -3 + 7 = 4 X + -8x = 4 + -9x Add '8x' to each side of the equation. X + -8x + 8x = 4 + -9x + 8x Combine like terms: -8x + 8x = 0 X + 0 = 4 + -9x + 8x X = 4 + -9x + 8x Combine like terms: -9x + 8x = -1x X = 4 + -1x Simplifying X = 4 + -1x
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