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Simplifying 7x + -5 = 4(x + -1) + 17 Reorder the terms: -5 + 7x = 4(x + -1) + 17 Reorder the terms: -5 + 7x = 4(-1 + x) + 17 -5 + 7x = (-1 * 4 + x * 4) + 17 -5 + 7x = (-4 + 4x) + 17 Reorder the terms: -5 + 7x = -4 + 17 + 4x Combine like terms: -4 + 17 = 13 -5 + 7x = 13 + 4x Solving -5 + 7x = 13 + 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 + 7x + -4x = 13 + 4x + -4x Combine like terms: 7x + -4x = 3x -5 + 3x = 13 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + 3x = 13 + 0 -5 + 3x = 13 Add '5' to each side of the equation. -5 + 5 + 3x = 13 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 13 + 5 3x = 13 + 5 Combine like terms: 13 + 5 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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