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Simplifying 13x + 15 + 3x = 17 + 12x + -23 Reorder the terms: 15 + 13x + 3x = 17 + 12x + -23 Combine like terms: 13x + 3x = 16x 15 + 16x = 17 + 12x + -23 Reorder the terms: 15 + 16x = 17 + -23 + 12x Combine like terms: 17 + -23 = -6 15 + 16x = -6 + 12x Solving 15 + 16x = -6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 15 + 16x + -12x = -6 + 12x + -12x Combine like terms: 16x + -12x = 4x 15 + 4x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 15 + 4x = -6 + 0 15 + 4x = -6 Add '-15' to each side of the equation. 15 + -15 + 4x = -6 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = -6 + -15 4x = -6 + -15 Combine like terms: -6 + -15 = -21 4x = -21 Divide each side by '4'. x = -5.25 Simplifying x = -5.25
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