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Simplifying 5x + -40 + -2x + 2 = 3x + 12 + -1x + -1 Reorder the terms: -40 + 2 + 5x + -2x = 3x + 12 + -1x + -1 Combine like terms: -40 + 2 = -38 -38 + 5x + -2x = 3x + 12 + -1x + -1 Combine like terms: 5x + -2x = 3x -38 + 3x = 3x + 12 + -1x + -1 Reorder the terms: -38 + 3x = 12 + -1 + 3x + -1x Combine like terms: 12 + -1 = 11 -38 + 3x = 11 + 3x + -1x Combine like terms: 3x + -1x = 2x -38 + 3x = 11 + 2x Solving -38 + 3x = 11 + 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. -38 + 3x + -2x = 11 + 2x + -2x Combine like terms: 3x + -2x = 1x -38 + 1x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 -38 + 1x = 11 + 0 -38 + 1x = 11 Add '38' to each side of the equation. -38 + 38 + 1x = 11 + 38 Combine like terms: -38 + 38 = 0 0 + 1x = 11 + 38 1x = 11 + 38 Combine like terms: 11 + 38 = 49 1x = 49 Divide each side by '1'. x = 49 Simplifying x = 49
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