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Simplifying x * 5 + 10 = x * 7 + -6 Reorder the terms for easier multiplication: 5x + 10 = x * 7 + -6 Reorder the terms: 10 + 5x = x * 7 + -6 Reorder the terms for easier multiplication: 10 + 5x = 7x + -6 Reorder the terms: 10 + 5x = -6 + 7x Solving 10 + 5x = -6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 10 + 5x + -7x = -6 + 7x + -7x Combine like terms: 5x + -7x = -2x 10 + -2x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -2x = -6 + 0 10 + -2x = -6 Add '-10' to each side of the equation. 10 + -10 + -2x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = -6 + -10 -2x = -6 + -10 Combine like terms: -6 + -10 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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