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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 = 24 24 + -21 + 3x = 5[5 + -4(4 + -1x)] Combine like terms: 24 + -21 = 3 3 + 3x = 5[5 + -4(4 + -1x)] 3 + 3x = 5[5 + (4 * -4 + -1x * -4)] 3 + 3x = 5[5 + (-16 + 4x)] Combine like terms: 5 + -16 = -11 3 + 3x = 5[-11 + 4x] 3 + 3x = [-11 * 5 + 4x * 5] 3 + 3x = [-55 + 20x] Solving 3 + 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. 3 + 3x + -20x = -55 + 20x + -20x Combine like terms: 3x + -20x = -17x 3 + -17x = -55 + 20x + -20x Combine like terms: 20x + -20x = 0 3 + -17x = -55 + 0 3 + -17x = -55 Add '-3' to each side of the equation. 3 + -3 + -17x = -55 + -3 Combine like terms: 3 + -3 = 0 0 + -17x = -55 + -3 -17x = -55 + -3 Combine like terms: -55 + -3 = -58 -17x = -58 Divide each side by '-17'. x = 3.411764706 Simplifying x = 3.411764706
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