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Simplifying (2x + -7) * 2 + 2(2x + -7) + -24 = 0 Reorder the terms: (-7 + 2x) * 2 + 2(2x + -7) + -24 = 0 Reorder the terms for easier multiplication: 2(-7 + 2x) + 2(2x + -7) + -24 = 0 (-7 * 2 + 2x * 2) + 2(2x + -7) + -24 = 0 (-14 + 4x) + 2(2x + -7) + -24 = 0 Reorder the terms: -14 + 4x + 2(-7 + 2x) + -24 = 0 -14 + 4x + (-7 * 2 + 2x * 2) + -24 = 0 -14 + 4x + (-14 + 4x) + -24 = 0 Reorder the terms: -14 + -14 + -24 + 4x + 4x = 0 Combine like terms: -14 + -14 = -28 -28 + -24 + 4x + 4x = 0 Combine like terms: -28 + -24 = -52 -52 + 4x + 4x = 0 Combine like terms: 4x + 4x = 8x -52 + 8x = 0 Solving -52 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + 8x = 0 + 52 Combine like terms: -52 + 52 = 0 0 + 8x = 0 + 52 8x = 0 + 52 Combine like terms: 0 + 52 = 52 8x = 52 Divide each side by '8'. x = 6.5 Simplifying x = 6.5
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