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Simplifying X + 7 + 1 + 3x = -4(x + -9) + -12(x + 4) Reorder the terms: 7 + 1 + X + 3x = -4(x + -9) + -12(x + 4) Combine like terms: 7 + 1 = 8 8 + X + 3x = -4(x + -9) + -12(x + 4) Reorder the terms: 8 + X + 3x = -4(-9 + x) + -12(x + 4) 8 + X + 3x = (-9 * -4 + x * -4) + -12(x + 4) 8 + X + 3x = (36 + -4x) + -12(x + 4) Reorder the terms: 8 + X + 3x = 36 + -4x + -12(4 + x) 8 + X + 3x = 36 + -4x + (4 * -12 + x * -12) 8 + X + 3x = 36 + -4x + (-48 + -12x) Reorder the terms: 8 + X + 3x = 36 + -48 + -4x + -12x Combine like terms: 36 + -48 = -12 8 + X + 3x = -12 + -4x + -12x Combine like terms: -4x + -12x = -16x 8 + X + 3x = -12 + -16x Solving 8 + X + 3x = -12 + -16x 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 + 3x = -12 + -8 + -16x Reorder the terms: 8 + -8 + X + 3x = -12 + -8 + -16x Combine like terms: 8 + -8 = 0 0 + X + 3x = -12 + -8 + -16x X + 3x = -12 + -8 + -16x Combine like terms: -12 + -8 = -20 X + 3x = -20 + -16x Add '-3x' to each side of the equation. X + 3x + -3x = -20 + -16x + -3x Combine like terms: 3x + -3x = 0 X + 0 = -20 + -16x + -3x X = -20 + -16x + -3x Combine like terms: -16x + -3x = -19x X = -20 + -19x Simplifying X = -20 + -19x
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