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Simplifying X + 6 + 1 + 8x = -3(5x + -1) + 4(x + -4) Reorder the terms: 6 + 1 + X + 8x = -3(5x + -1) + 4(x + -4) Combine like terms: 6 + 1 = 7 7 + X + 8x = -3(5x + -1) + 4(x + -4) Reorder the terms: 7 + X + 8x = -3(-1 + 5x) + 4(x + -4) 7 + X + 8x = (-1 * -3 + 5x * -3) + 4(x + -4) 7 + X + 8x = (3 + -15x) + 4(x + -4) Reorder the terms: 7 + X + 8x = 3 + -15x + 4(-4 + x) 7 + X + 8x = 3 + -15x + (-4 * 4 + x * 4) 7 + X + 8x = 3 + -15x + (-16 + 4x) Reorder the terms: 7 + X + 8x = 3 + -16 + -15x + 4x Combine like terms: 3 + -16 = -13 7 + X + 8x = -13 + -15x + 4x Combine like terms: -15x + 4x = -11x 7 + X + 8x = -13 + -11x Solving 7 + X + 8x = -13 + -11x 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 = -13 + -7 + -11x Reorder the terms: 7 + -7 + X + 8x = -13 + -7 + -11x Combine like terms: 7 + -7 = 0 0 + X + 8x = -13 + -7 + -11x X + 8x = -13 + -7 + -11x Combine like terms: -13 + -7 = -20 X + 8x = -20 + -11x Add '-8x' to each side of the equation. X + 8x + -8x = -20 + -11x + -8x Combine like terms: 8x + -8x = 0 X + 0 = -20 + -11x + -8x X = -20 + -11x + -8x Combine like terms: -11x + -8x = -19x X = -20 + -19x Simplifying X = -20 + -19x
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