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Simplifying 2x + 3(2x + -5) = 2(x + 3) + 2x Reorder the terms: 2x + 3(-5 + 2x) = 2(x + 3) + 2x 2x + (-5 * 3 + 2x * 3) = 2(x + 3) + 2x 2x + (-15 + 6x) = 2(x + 3) + 2x Reorder the terms: -15 + 2x + 6x = 2(x + 3) + 2x Combine like terms: 2x + 6x = 8x -15 + 8x = 2(x + 3) + 2x Reorder the terms: -15 + 8x = 2(3 + x) + 2x -15 + 8x = (3 * 2 + x * 2) + 2x -15 + 8x = (6 + 2x) + 2x Combine like terms: 2x + 2x = 4x -15 + 8x = 6 + 4x Solving -15 + 8x = 6 + 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. -15 + 8x + -4x = 6 + 4x + -4x Combine like terms: 8x + -4x = 4x -15 + 4x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -15 + 4x = 6 + 0 -15 + 4x = 6 Add '15' to each side of the equation. -15 + 15 + 4x = 6 + 15 Combine like terms: -15 + 15 = 0 0 + 4x = 6 + 15 4x = 6 + 15 Combine like terms: 6 + 15 = 21 4x = 21 Divide each side by '4'. x = 5.25 Simplifying x = 5.25
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