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Simplifying 13x + 15 = 11x + 8x + -12 Reorder the terms: 15 + 13x = 11x + 8x + -12 Reorder the terms: 15 + 13x = -12 + 11x + 8x Combine like terms: 11x + 8x = 19x 15 + 13x = -12 + 19x Solving 15 + 13x = -12 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 15 + 13x + -19x = -12 + 19x + -19x Combine like terms: 13x + -19x = -6x 15 + -6x = -12 + 19x + -19x Combine like terms: 19x + -19x = 0 15 + -6x = -12 + 0 15 + -6x = -12 Add '-15' to each side of the equation. 15 + -15 + -6x = -12 + -15 Combine like terms: 15 + -15 = 0 0 + -6x = -12 + -15 -6x = -12 + -15 Combine like terms: -12 + -15 = -27 -6x = -27 Divide each side by '-6'. x = 4.5 Simplifying x = 4.5
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