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Simplifying 15x + 7x + -42 + -1x = 33 + -1x + -5 + 2x Reorder the terms: -42 + 15x + 7x + -1x = 33 + -1x + -5 + 2x Combine like terms: 15x + 7x = 22x -42 + 22x + -1x = 33 + -1x + -5 + 2x Combine like terms: 22x + -1x = 21x -42 + 21x = 33 + -1x + -5 + 2x Reorder the terms: -42 + 21x = 33 + -5 + -1x + 2x Combine like terms: 33 + -5 = 28 -42 + 21x = 28 + -1x + 2x Combine like terms: -1x + 2x = 1x -42 + 21x = 28 + 1x Solving -42 + 21x = 28 + 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. -42 + 21x + -1x = 28 + 1x + -1x Combine like terms: 21x + -1x = 20x -42 + 20x = 28 + 1x + -1x Combine like terms: 1x + -1x = 0 -42 + 20x = 28 + 0 -42 + 20x = 28 Add '42' to each side of the equation. -42 + 42 + 20x = 28 + 42 Combine like terms: -42 + 42 = 0 0 + 20x = 28 + 42 20x = 28 + 42 Combine like terms: 28 + 42 = 70 20x = 70 Divide each side by '20'. x = 3.5 Simplifying x = 3.5
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