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Simplifying 5x + 2(2x + -3) = 7x + 8 Reorder the terms: 5x + 2(-3 + 2x) = 7x + 8 5x + (-3 * 2 + 2x * 2) = 7x + 8 5x + (-6 + 4x) = 7x + 8 Reorder the terms: -6 + 5x + 4x = 7x + 8 Combine like terms: 5x + 4x = 9x -6 + 9x = 7x + 8 Reorder the terms: -6 + 9x = 8 + 7x Solving -6 + 9x = 8 + 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. -6 + 9x + -7x = 8 + 7x + -7x Combine like terms: 9x + -7x = 2x -6 + 2x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + 2x = 8 + 0 -6 + 2x = 8 Add '6' to each side of the equation. -6 + 6 + 2x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 8 + 6 2x = 8 + 6 Combine like terms: 8 + 6 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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