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Simplifying 5(x + 2) + -3 = x + -8x + 7 Reorder the terms: 5(2 + x) + -3 = x + -8x + 7 (2 * 5 + x * 5) + -3 = x + -8x + 7 (10 + 5x) + -3 = x + -8x + 7 Reorder the terms: 10 + -3 + 5x = x + -8x + 7 Combine like terms: 10 + -3 = 7 7 + 5x = x + -8x + 7 Reorder the terms: 7 + 5x = 7 + x + -8x Combine like terms: x + -8x = -7x 7 + 5x = 7 + -7x Add '-7' to each side of the equation. 7 + -7 + 5x = 7 + -7 + -7x Combine like terms: 7 + -7 = 0 0 + 5x = 7 + -7 + -7x 5x = 7 + -7 + -7x Combine like terms: 7 + -7 = 0 5x = 0 + -7x 5x = -7x Solving 5x = -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. 5x + 7x = -7x + 7x Combine like terms: 5x + 7x = 12x 12x = -7x + 7x Combine like terms: -7x + 7x = 0 12x = 0 Divide each side by '12'. x = 0 Simplifying x = 0
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