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Simplifying 12 + 3(x + -4) + -21 = 5[5 + -4(4 + -1x)] Reorder the terms: 12 + 3(-4 + x) + -21 = 5[5 + -4(4 + -1x)] 12 + (-4 * 3 + x * 3) + -21 = 5[5 + -4(4 + -1x)] 12 + (-12 + 3x) + -21 = 5[5 + -4(4 + -1x)] Reorder the terms: 12 + -12 + -21 + 3x = 5[5 + -4(4 + -1x)] Combine like terms: 12 + -12 = 0 0 + -21 + 3x = 5[5 + -4(4 + -1x)] -21 + 3x = 5[5 + -4(4 + -1x)] -21 + 3x = 5[5 + (4 * -4 + -1x * -4)] -21 + 3x = 5[5 + (-16 + 4x)] Combine like terms: 5 + -16 = -11 -21 + 3x = 5[-11 + 4x] -21 + 3x = [-11 * 5 + 4x * 5] -21 + 3x = [-55 + 20x] Solving -21 + 3x = -55 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -21 + 3x + -20x = -55 + 20x + -20x Combine like terms: 3x + -20x = -17x -21 + -17x = -55 + 20x + -20x Combine like terms: 20x + -20x = 0 -21 + -17x = -55 + 0 -21 + -17x = -55 Add '21' to each side of the equation. -21 + 21 + -17x = -55 + 21 Combine like terms: -21 + 21 = 0 0 + -17x = -55 + 21 -17x = -55 + 21 Combine like terms: -55 + 21 = -34 -17x = -34 Divide each side by '-17'. x = 2 Simplifying x = 2
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