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Simplifying 5x + -5 = 4(x + 1) + 8 Reorder the terms: -5 + 5x = 4(x + 1) + 8 Reorder the terms: -5 + 5x = 4(1 + x) + 8 -5 + 5x = (1 * 4 + x * 4) + 8 -5 + 5x = (4 + 4x) + 8 Reorder the terms: -5 + 5x = 4 + 8 + 4x Combine like terms: 4 + 8 = 12 -5 + 5x = 12 + 4x Solving -5 + 5x = 12 + 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. -5 + 5x + -4x = 12 + 4x + -4x Combine like terms: 5x + -4x = 1x -5 + 1x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + 1x = 12 + 0 -5 + 1x = 12 Add '5' to each side of the equation. -5 + 5 + 1x = 12 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = 12 + 5 1x = 12 + 5 Combine like terms: 12 + 5 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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