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Simplifying 3x + 4 + -2x + -7 = 4x + 3 Reorder the terms: 4 + -7 + 3x + -2x = 4x + 3 Combine like terms: 4 + -7 = -3 -3 + 3x + -2x = 4x + 3 Combine like terms: 3x + -2x = 1x -3 + 1x = 4x + 3 Reorder the terms: -3 + 1x = 3 + 4x Solving -3 + 1x = 3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -3 + 1x + -4x = 3 + 4x + -4x Combine like terms: 1x + -4x = -3x -3 + -3x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + -3x = 3 + 0 -3 + -3x = 3 Add '3' to each side of the equation. -3 + 3 + -3x = 3 + 3 Combine like terms: -3 + 3 = 0 0 + -3x = 3 + 3 -3x = 3 + 3 Combine like terms: 3 + 3 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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