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Simplifying 7x + -5 = 3(2x + -1) + 4 Reorder the terms: -5 + 7x = 3(2x + -1) + 4 Reorder the terms: -5 + 7x = 3(-1 + 2x) + 4 -5 + 7x = (-1 * 3 + 2x * 3) + 4 -5 + 7x = (-3 + 6x) + 4 Reorder the terms: -5 + 7x = -3 + 4 + 6x Combine like terms: -3 + 4 = 1 -5 + 7x = 1 + 6x Solving -5 + 7x = 1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -5 + 7x + -6x = 1 + 6x + -6x Combine like terms: 7x + -6x = 1x -5 + 1x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + 1x = 1 + 0 -5 + 1x = 1 Add '5' to each side of the equation. -5 + 5 + 1x = 1 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = 1 + 5 1x = 1 + 5 Combine like terms: 1 + 5 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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