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Simplifying 8x + 10 + -5x = 13x + -14x + -15 Reorder the terms: 10 + 8x + -5x = 13x + -14x + -15 Combine like terms: 8x + -5x = 3x 10 + 3x = 13x + -14x + -15 Reorder the terms: 10 + 3x = -15 + 13x + -14x Combine like terms: 13x + -14x = -1x 10 + 3x = -15 + -1x Solving 10 + 3x = -15 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 10 + 3x + x = -15 + -1x + x Combine like terms: 3x + x = 4x 10 + 4x = -15 + -1x + x Combine like terms: -1x + x = 0 10 + 4x = -15 + 0 10 + 4x = -15 Add '-10' to each side of the equation. 10 + -10 + 4x = -15 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = -15 + -10 4x = -15 + -10 Combine like terms: -15 + -10 = -25 4x = -25 Divide each side by '4'. x = -6.25 Simplifying x = -6.25
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