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Simplifying x * 13 + -106 = x * 5 + -10 Reorder the terms for easier multiplication: 13x + -106 = x * 5 + -10 Reorder the terms: -106 + 13x = x * 5 + -10 Reorder the terms for easier multiplication: -106 + 13x = 5x + -10 Reorder the terms: -106 + 13x = -10 + 5x Solving -106 + 13x = -10 + 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. -106 + 13x + -5x = -10 + 5x + -5x Combine like terms: 13x + -5x = 8x -106 + 8x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -106 + 8x = -10 + 0 -106 + 8x = -10 Add '106' to each side of the equation. -106 + 106 + 8x = -10 + 106 Combine like terms: -106 + 106 = 0 0 + 8x = -10 + 106 8x = -10 + 106 Combine like terms: -10 + 106 = 96 8x = 96 Divide each side by '8'. x = 12 Simplifying x = 12
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