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Simplifying 4x + 38 = 16x + -46 Reorder the terms: 38 + 4x = 16x + -46 Reorder the terms: 38 + 4x = -46 + 16x Solving 38 + 4x = -46 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 38 + 4x + -16x = -46 + 16x + -16x Combine like terms: 4x + -16x = -12x 38 + -12x = -46 + 16x + -16x Combine like terms: 16x + -16x = 0 38 + -12x = -46 + 0 38 + -12x = -46 Add '-38' to each side of the equation. 38 + -38 + -12x = -46 + -38 Combine like terms: 38 + -38 = 0 0 + -12x = -46 + -38 -12x = -46 + -38 Combine like terms: -46 + -38 = -84 -12x = -84 Divide each side by '-12'. x = 7 Simplifying x = 7
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