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Simplifying 4x + (-5) + -2x + -2 = 4x + -3x + -3 4x + -5 + -2x + -2 = 4x + -3x + -3 Reorder the terms: -5 + -2 + 4x + -2x = 4x + -3x + -3 Combine like terms: -5 + -2 = -7 -7 + 4x + -2x = 4x + -3x + -3 Combine like terms: 4x + -2x = 2x -7 + 2x = 4x + -3x + -3 Reorder the terms: -7 + 2x = -3 + 4x + -3x Combine like terms: 4x + -3x = 1x -7 + 2x = -3 + 1x Solving -7 + 2x = -3 + 1x 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. -7 + 2x + -1x = -3 + 1x + -1x Combine like terms: 2x + -1x = 1x -7 + 1x = -3 + 1x + -1x Combine like terms: 1x + -1x = 0 -7 + 1x = -3 + 0 -7 + 1x = -3 Add '7' to each side of the equation. -7 + 7 + 1x = -3 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = -3 + 7 1x = -3 + 7 Combine like terms: -3 + 7 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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