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Simplifying 5x + -2(-2x + 1) = 2(2x + 15) Reorder the terms: 5x + -2(1 + -2x) = 2(2x + 15) 5x + (1 * -2 + -2x * -2) = 2(2x + 15) 5x + (-2 + 4x) = 2(2x + 15) Reorder the terms: -2 + 5x + 4x = 2(2x + 15) Combine like terms: 5x + 4x = 9x -2 + 9x = 2(2x + 15) Reorder the terms: -2 + 9x = 2(15 + 2x) -2 + 9x = (15 * 2 + 2x * 2) -2 + 9x = (30 + 4x) Solving -2 + 9x = 30 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + 9x + -4x = 30 + 4x + -4x Combine like terms: 9x + -4x = 5x -2 + 5x = 30 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + 5x = 30 + 0 -2 + 5x = 30 Add '2' to each side of the equation. -2 + 2 + 5x = 30 + 2 Combine like terms: -2 + 2 = 0 0 + 5x = 30 + 2 5x = 30 + 2 Combine like terms: 30 + 2 = 32 5x = 32 Divide each side by '5'. x = 6.4 Simplifying x = 6.4
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