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Simplifying X + -2(x + 3) = 4(2x + 3) + -1(x + 4) Reorder the terms: X + -2(3 + x) = 4(2x + 3) + -1(x + 4) X + (3 * -2 + x * -2) = 4(2x + 3) + -1(x + 4) X + (-6 + -2x) = 4(2x + 3) + -1(x + 4) Reorder the terms: -6 + X + -2x = 4(2x + 3) + -1(x + 4) Reorder the terms: -6 + X + -2x = 4(3 + 2x) + -1(x + 4) -6 + X + -2x = (3 * 4 + 2x * 4) + -1(x + 4) -6 + X + -2x = (12 + 8x) + -1(x + 4) Reorder the terms: -6 + X + -2x = 12 + 8x + -1(4 + x) -6 + X + -2x = 12 + 8x + (4 * -1 + x * -1) -6 + X + -2x = 12 + 8x + (-4 + -1x) Reorder the terms: -6 + X + -2x = 12 + -4 + 8x + -1x Combine like terms: 12 + -4 = 8 -6 + X + -2x = 8 + 8x + -1x Combine like terms: 8x + -1x = 7x -6 + X + -2x = 8 + 7x Solving -6 + X + -2x = 8 + 7x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '6' to each side of the equation. -6 + X + 6 + -2x = 8 + 6 + 7x Reorder the terms: -6 + 6 + X + -2x = 8 + 6 + 7x Combine like terms: -6 + 6 = 0 0 + X + -2x = 8 + 6 + 7x X + -2x = 8 + 6 + 7x Combine like terms: 8 + 6 = 14 X + -2x = 14 + 7x Add '2x' to each side of the equation. X + -2x + 2x = 14 + 7x + 2x Combine like terms: -2x + 2x = 0 X + 0 = 14 + 7x + 2x X = 14 + 7x + 2x Combine like terms: 7x + 2x = 9x X = 14 + 9x Simplifying X = 14 + 9x
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