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Simplifying 4x + -7 + 3 + -1x = 17 + 2x + -2 Reorder the terms: -7 + 3 + 4x + -1x = 17 + 2x + -2 Combine like terms: -7 + 3 = -4 -4 + 4x + -1x = 17 + 2x + -2 Combine like terms: 4x + -1x = 3x -4 + 3x = 17 + 2x + -2 Reorder the terms: -4 + 3x = 17 + -2 + 2x Combine like terms: 17 + -2 = 15 -4 + 3x = 15 + 2x Solving -4 + 3x = 15 + 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. -4 + 3x + -2x = 15 + 2x + -2x Combine like terms: 3x + -2x = 1x -4 + 1x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 1x = 15 + 0 -4 + 1x = 15 Add '4' to each side of the equation. -4 + 4 + 1x = 15 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = 15 + 4 1x = 15 + 4 Combine like terms: 15 + 4 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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