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Simplifying I + -4(2x + 3) = 2x + 6 + -1(8x + 2) Reorder the terms: I + -4(3 + 2x) = 2x + 6 + -1(8x + 2) I + (3 * -4 + 2x * -4) = 2x + 6 + -1(8x + 2) I + (-12 + -8x) = 2x + 6 + -1(8x + 2) Reorder the terms: -12 + I + -8x = 2x + 6 + -1(8x + 2) Reorder the terms: -12 + I + -8x = 2x + 6 + -1(2 + 8x) -12 + I + -8x = 2x + 6 + (2 * -1 + 8x * -1) -12 + I + -8x = 2x + 6 + (-2 + -8x) Reorder the terms: -12 + I + -8x = 6 + -2 + 2x + -8x Combine like terms: 6 + -2 = 4 -12 + I + -8x = 4 + 2x + -8x Combine like terms: 2x + -8x = -6x -12 + I + -8x = 4 + -6x Solving -12 + I + -8x = 4 + -6x Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '12' to each side of the equation. -12 + I + 12 + -8x = 4 + 12 + -6x Reorder the terms: -12 + 12 + I + -8x = 4 + 12 + -6x Combine like terms: -12 + 12 = 0 0 + I + -8x = 4 + 12 + -6x I + -8x = 4 + 12 + -6x Combine like terms: 4 + 12 = 16 I + -8x = 16 + -6x Add '8x' to each side of the equation. I + -8x + 8x = 16 + -6x + 8x Combine like terms: -8x + 8x = 0 I + 0 = 16 + -6x + 8x I = 16 + -6x + 8x Combine like terms: -6x + 8x = 2x I = 16 + 2x Simplifying I = 16 + 2x
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