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Simplifying 5x + -7 = 2(2x + 4) + -1 Reorder the terms: -7 + 5x = 2(2x + 4) + -1 Reorder the terms: -7 + 5x = 2(4 + 2x) + -1 -7 + 5x = (4 * 2 + 2x * 2) + -1 -7 + 5x = (8 + 4x) + -1 Reorder the terms: -7 + 5x = 8 + -1 + 4x Combine like terms: 8 + -1 = 7 -7 + 5x = 7 + 4x Solving -7 + 5x = 7 + 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 + 5x + -4x = 7 + 4x + -4x Combine like terms: 5x + -4x = 1x -7 + 1x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + 1x = 7 + 0 -7 + 1x = 7 Add '7' to each side of the equation. -7 + 7 + 1x = 7 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 7 + 7 1x = 7 + 7 Combine like terms: 7 + 7 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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