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Simplifying (4x + -46) + -6x = 2x + -10 Reorder the terms: (-46 + 4x) + -6x = 2x + -10 Remove parenthesis around (-46 + 4x) -46 + 4x + -6x = 2x + -10 Combine like terms: 4x + -6x = -2x -46 + -2x = 2x + -10 Reorder the terms: -46 + -2x = -10 + 2x Solving -46 + -2x = -10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -46 + -2x + -2x = -10 + 2x + -2x Combine like terms: -2x + -2x = -4x -46 + -4x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -46 + -4x = -10 + 0 -46 + -4x = -10 Add '46' to each side of the equation. -46 + 46 + -4x = -10 + 46 Combine like terms: -46 + 46 = 0 0 + -4x = -10 + 46 -4x = -10 + 46 Combine like terms: -10 + 46 = 36 -4x = 36 Divide each side by '-4'. x = -9 Simplifying x = -9
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