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Simplifying 2x + -7 + 4x = 2(2x + 7) + 24 Reorder the terms: -7 + 2x + 4x = 2(2x + 7) + 24 Combine like terms: 2x + 4x = 6x -7 + 6x = 2(2x + 7) + 24 Reorder the terms: -7 + 6x = 2(7 + 2x) + 24 -7 + 6x = (7 * 2 + 2x * 2) + 24 -7 + 6x = (14 + 4x) + 24 Reorder the terms: -7 + 6x = 14 + 24 + 4x Combine like terms: 14 + 24 = 38 -7 + 6x = 38 + 4x Solving -7 + 6x = 38 + 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. -7 + 6x + -4x = 38 + 4x + -4x Combine like terms: 6x + -4x = 2x -7 + 2x = 38 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + 2x = 38 + 0 -7 + 2x = 38 Add '7' to each side of the equation. -7 + 7 + 2x = 38 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 38 + 7 2x = 38 + 7 Combine like terms: 38 + 7 = 45 2x = 45 Divide each side by '2'. x = 22.5 Simplifying x = 22.5
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