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Simplifying x + -13 = 4[3x + -4(3x + 1)] Reorder the terms: -13 + x = 4[3x + -4(3x + 1)] Reorder the terms: -13 + x = 4[3x + -4(1 + 3x)] -13 + x = 4[3x + (1 * -4 + 3x * -4)] -13 + x = 4[3x + (-4 + -12x)] Reorder the terms: -13 + x = 4[-4 + 3x + -12x] Combine like terms: 3x + -12x = -9x -13 + x = 4[-4 + -9x] -13 + x = [-4 * 4 + -9x * 4] -13 + x = [-16 + -36x] Solving -13 + x = -16 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -13 + x + 36x = -16 + -36x + 36x Combine like terms: x + 36x = 37x -13 + 37x = -16 + -36x + 36x Combine like terms: -36x + 36x = 0 -13 + 37x = -16 + 0 -13 + 37x = -16 Add '13' to each side of the equation. -13 + 13 + 37x = -16 + 13 Combine like terms: -13 + 13 = 0 0 + 37x = -16 + 13 37x = -16 + 13 Combine like terms: -16 + 13 = -3 37x = -3 Divide each side by '37'. x = -0.08108108108 Simplifying x = -0.08108108108
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