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Simplifying 10x + -6x + 18 + -19 = 2x + 45 Reorder the terms: 18 + -19 + 10x + -6x = 2x + 45 Combine like terms: 18 + -19 = -1 -1 + 10x + -6x = 2x + 45 Combine like terms: 10x + -6x = 4x -1 + 4x = 2x + 45 Reorder the terms: -1 + 4x = 45 + 2x Solving -1 + 4x = 45 + 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. -1 + 4x + -2x = 45 + 2x + -2x Combine like terms: 4x + -2x = 2x -1 + 2x = 45 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 2x = 45 + 0 -1 + 2x = 45 Add '1' to each side of the equation. -1 + 1 + 2x = 45 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 45 + 1 2x = 45 + 1 Combine like terms: 45 + 1 = 46 2x = 46 Divide each side by '2'. x = 23 Simplifying x = 23
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