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Simplifying 5x + -2 + 1x + 40 = 8 + 5x + 42 + -2x Reorder the terms: -2 + 40 + 5x + 1x = 8 + 5x + 42 + -2x Combine like terms: -2 + 40 = 38 38 + 5x + 1x = 8 + 5x + 42 + -2x Combine like terms: 5x + 1x = 6x 38 + 6x = 8 + 5x + 42 + -2x Reorder the terms: 38 + 6x = 8 + 42 + 5x + -2x Combine like terms: 8 + 42 = 50 38 + 6x = 50 + 5x + -2x Combine like terms: 5x + -2x = 3x 38 + 6x = 50 + 3x Solving 38 + 6x = 50 + 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. 38 + 6x + -3x = 50 + 3x + -3x Combine like terms: 6x + -3x = 3x 38 + 3x = 50 + 3x + -3x Combine like terms: 3x + -3x = 0 38 + 3x = 50 + 0 38 + 3x = 50 Add '-38' to each side of the equation. 38 + -38 + 3x = 50 + -38 Combine like terms: 38 + -38 = 0 0 + 3x = 50 + -38 3x = 50 + -38 Combine like terms: 50 + -38 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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