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Simplifying 4x + 6 + -7x = 23 + -5x + -15x Reorder the terms: 6 + 4x + -7x = 23 + -5x + -15x Combine like terms: 4x + -7x = -3x 6 + -3x = 23 + -5x + -15x Combine like terms: -5x + -15x = -20x 6 + -3x = 23 + -20x Solving 6 + -3x = 23 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 6 + -3x + 20x = 23 + -20x + 20x Combine like terms: -3x + 20x = 17x 6 + 17x = 23 + -20x + 20x Combine like terms: -20x + 20x = 0 6 + 17x = 23 + 0 6 + 17x = 23 Add '-6' to each side of the equation. 6 + -6 + 17x = 23 + -6 Combine like terms: 6 + -6 = 0 0 + 17x = 23 + -6 17x = 23 + -6 Combine like terms: 23 + -6 = 17 17x = 17 Divide each side by '17'. x = 1 Simplifying x = 1
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