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Simplifying x + -13 = 4[3x + -4(x + -2)] Reorder the terms: -13 + x = 4[3x + -4(x + -2)] Reorder the terms: -13 + x = 4[3x + -4(-2 + x)] -13 + x = 4[3x + (-2 * -4 + x * -4)] -13 + x = 4[3x + (8 + -4x)] Reorder the terms: -13 + x = 4[8 + 3x + -4x] Combine like terms: 3x + -4x = -1x -13 + x = 4[8 + -1x] -13 + x = [8 * 4 + -1x * 4] -13 + x = [32 + -4x] Solving -13 + x = 32 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -13 + x + 4x = 32 + -4x + 4x Combine like terms: x + 4x = 5x -13 + 5x = 32 + -4x + 4x Combine like terms: -4x + 4x = 0 -13 + 5x = 32 + 0 -13 + 5x = 32 Add '13' to each side of the equation. -13 + 13 + 5x = 32 + 13 Combine like terms: -13 + 13 = 0 0 + 5x = 32 + 13 5x = 32 + 13 Combine like terms: 32 + 13 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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