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Simplifying 4x + 162 = 10x + -12 Reorder the terms: 162 + 4x = 10x + -12 Reorder the terms: 162 + 4x = -12 + 10x Solving 162 + 4x = -12 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 162 + 4x + -10x = -12 + 10x + -10x Combine like terms: 4x + -10x = -6x 162 + -6x = -12 + 10x + -10x Combine like terms: 10x + -10x = 0 162 + -6x = -12 + 0 162 + -6x = -12 Add '-162' to each side of the equation. 162 + -162 + -6x = -12 + -162 Combine like terms: 162 + -162 = 0 0 + -6x = -12 + -162 -6x = -12 + -162 Combine like terms: -12 + -162 = -174 -6x = -174 Divide each side by '-6'. x = 29 Simplifying x = 29
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