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Simplifying 10x + 45 + -7x + 21 = 23 + -5x + 25 + 2x Reorder the terms: 45 + 21 + 10x + -7x = 23 + -5x + 25 + 2x Combine like terms: 45 + 21 = 66 66 + 10x + -7x = 23 + -5x + 25 + 2x Combine like terms: 10x + -7x = 3x 66 + 3x = 23 + -5x + 25 + 2x Reorder the terms: 66 + 3x = 23 + 25 + -5x + 2x Combine like terms: 23 + 25 = 48 66 + 3x = 48 + -5x + 2x Combine like terms: -5x + 2x = -3x 66 + 3x = 48 + -3x Solving 66 + 3x = 48 + -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. 66 + 3x + 3x = 48 + -3x + 3x Combine like terms: 3x + 3x = 6x 66 + 6x = 48 + -3x + 3x Combine like terms: -3x + 3x = 0 66 + 6x = 48 + 0 66 + 6x = 48 Add '-66' to each side of the equation. 66 + -66 + 6x = 48 + -66 Combine like terms: 66 + -66 = 0 0 + 6x = 48 + -66 6x = 48 + -66 Combine like terms: 48 + -66 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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