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Simplifying (4x + -7) + (x + -3) = 46 + x Reorder the terms: (-7 + 4x) + (x + -3) = 46 + x Remove parenthesis around (-7 + 4x) -7 + 4x + (x + -3) = 46 + x Reorder the terms: -7 + 4x + (-3 + x) = 46 + x Remove parenthesis around (-3 + x) -7 + 4x + -3 + x = 46 + x Reorder the terms: -7 + -3 + 4x + x = 46 + x Combine like terms: -7 + -3 = -10 -10 + 4x + x = 46 + x Combine like terms: 4x + x = 5x -10 + 5x = 46 + x Solving -10 + 5x = 46 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -10 + 5x + -1x = 46 + x + -1x Combine like terms: 5x + -1x = 4x -10 + 4x = 46 + x + -1x Combine like terms: x + -1x = 0 -10 + 4x = 46 + 0 -10 + 4x = 46 Add '10' to each side of the equation. -10 + 10 + 4x = 46 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = 46 + 10 4x = 46 + 10 Combine like terms: 46 + 10 = 56 4x = 56 Divide each side by '4'. x = 14 Simplifying x = 14
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