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Simplifying x + -162 = 2x + 5(4x + -3) Reorder the terms: -162 + x = 2x + 5(4x + -3) Reorder the terms: -162 + x = 2x + 5(-3 + 4x) -162 + x = 2x + (-3 * 5 + 4x * 5) -162 + x = 2x + (-15 + 20x) Reorder the terms: -162 + x = -15 + 2x + 20x Combine like terms: 2x + 20x = 22x -162 + x = -15 + 22x Solving -162 + x = -15 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. -162 + x + -22x = -15 + 22x + -22x Combine like terms: x + -22x = -21x -162 + -21x = -15 + 22x + -22x Combine like terms: 22x + -22x = 0 -162 + -21x = -15 + 0 -162 + -21x = -15 Add '162' to each side of the equation. -162 + 162 + -21x = -15 + 162 Combine like terms: -162 + 162 = 0 0 + -21x = -15 + 162 -21x = -15 + 162 Combine like terms: -15 + 162 = 147 -21x = 147 Divide each side by '-21'. x = -7 Simplifying x = -7
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