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Simplifying 4x + -10 = 12x + 46 Reorder the terms: -10 + 4x = 12x + 46 Reorder the terms: -10 + 4x = 46 + 12x Solving -10 + 4x = 46 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -10 + 4x + -12x = 46 + 12x + -12x Combine like terms: 4x + -12x = -8x -10 + -8x = 46 + 12x + -12x Combine like terms: 12x + -12x = 0 -10 + -8x = 46 + 0 -10 + -8x = 46 Add '10' to each side of the equation. -10 + 10 + -8x = 46 + 10 Combine like terms: -10 + 10 = 0 0 + -8x = 46 + 10 -8x = 46 + 10 Combine like terms: 46 + 10 = 56 -8x = 56 Divide each side by '-8'. x = -7 Simplifying x = -7
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