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Simplifying X + 4(2x + 3) = 6 + -3(x + -1) Reorder the terms: X + 4(3 + 2x) = 6 + -3(x + -1) X + (3 * 4 + 2x * 4) = 6 + -3(x + -1) X + (12 + 8x) = 6 + -3(x + -1) Reorder the terms: 12 + X + 8x = 6 + -3(x + -1) Reorder the terms: 12 + X + 8x = 6 + -3(-1 + x) 12 + X + 8x = 6 + (-1 * -3 + x * -3) 12 + X + 8x = 6 + (3 + -3x) Combine like terms: 6 + 3 = 9 12 + X + 8x = 9 + -3x Solving 12 + X + 8x = 9 + -3x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + X + -12 + 8x = 9 + -12 + -3x Reorder the terms: 12 + -12 + X + 8x = 9 + -12 + -3x Combine like terms: 12 + -12 = 0 0 + X + 8x = 9 + -12 + -3x X + 8x = 9 + -12 + -3x Combine like terms: 9 + -12 = -3 X + 8x = -3 + -3x Add '-8x' to each side of the equation. X + 8x + -8x = -3 + -3x + -8x Combine like terms: 8x + -8x = 0 X + 0 = -3 + -3x + -8x X = -3 + -3x + -8x Combine like terms: -3x + -8x = -11x X = -3 + -11x Simplifying X = -3 + -11x
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