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Simplifying 5x + 5(2x + 10) = 10x + 12 Reorder the terms: 5x + 5(10 + 2x) = 10x + 12 5x + (10 * 5 + 2x * 5) = 10x + 12 5x + (50 + 10x) = 10x + 12 Reorder the terms: 50 + 5x + 10x = 10x + 12 Combine like terms: 5x + 10x = 15x 50 + 15x = 10x + 12 Reorder the terms: 50 + 15x = 12 + 10x Solving 50 + 15x = 12 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 50 + 15x + -10x = 12 + 10x + -10x Combine like terms: 15x + -10x = 5x 50 + 5x = 12 + 10x + -10x Combine like terms: 10x + -10x = 0 50 + 5x = 12 + 0 50 + 5x = 12 Add '-50' to each side of the equation. 50 + -50 + 5x = 12 + -50 Combine like terms: 50 + -50 = 0 0 + 5x = 12 + -50 5x = 12 + -50 Combine like terms: 12 + -50 = -38 5x = -38 Divide each side by '5'. x = -7.6 Simplifying x = -7.6
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