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Simplifying 7x + -5 = 2(3x + 4) + -3 Reorder the terms: -5 + 7x = 2(3x + 4) + -3 Reorder the terms: -5 + 7x = 2(4 + 3x) + -3 -5 + 7x = (4 * 2 + 3x * 2) + -3 -5 + 7x = (8 + 6x) + -3 Reorder the terms: -5 + 7x = 8 + -3 + 6x Combine like terms: 8 + -3 = 5 -5 + 7x = 5 + 6x Solving -5 + 7x = 5 + 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 = 5 + 6x + -6x Combine like terms: 7x + -6x = 1x -5 + 1x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + 1x = 5 + 0 -5 + 1x = 5 Add '5' to each side of the equation. -5 + 5 + 1x = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = 5 + 5 1x = 5 + 5 Combine like terms: 5 + 5 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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