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Simplifying 4x + 6 + -7x = 23 + -5x + -15 Reorder the terms: 6 + 4x + -7x = 23 + -5x + -15 Combine like terms: 4x + -7x = -3x 6 + -3x = 23 + -5x + -15 Reorder the terms: 6 + -3x = 23 + -15 + -5x Combine like terms: 23 + -15 = 8 6 + -3x = 8 + -5x Solving 6 + -3x = 8 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 6 + -3x + 5x = 8 + -5x + 5x Combine like terms: -3x + 5x = 2x 6 + 2x = 8 + -5x + 5x Combine like terms: -5x + 5x = 0 6 + 2x = 8 + 0 6 + 2x = 8 Add '-6' to each side of the equation. 6 + -6 + 2x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 8 + -6 2x = 8 + -6 Combine like terms: 8 + -6 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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