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Simplifying 4x + -7 + -3x = 9 + -3x + 32 Reorder the terms: -7 + 4x + -3x = 9 + -3x + 32 Combine like terms: 4x + -3x = 1x -7 + 1x = 9 + -3x + 32 Reorder the terms: -7 + 1x = 9 + 32 + -3x Combine like terms: 9 + 32 = 41 -7 + 1x = 41 + -3x Solving -7 + 1x = 41 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -7 + 1x + 3x = 41 + -3x + 3x Combine like terms: 1x + 3x = 4x -7 + 4x = 41 + -3x + 3x Combine like terms: -3x + 3x = 0 -7 + 4x = 41 + 0 -7 + 4x = 41 Add '7' to each side of the equation. -7 + 7 + 4x = 41 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 41 + 7 4x = 41 + 7 Combine like terms: 41 + 7 = 48 4x = 48 Divide each side by '4'. x = 12 Simplifying x = 12
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