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Simplifying 7x + -2 = 3(2x + 5) + -13 Reorder the terms: -2 + 7x = 3(2x + 5) + -13 Reorder the terms: -2 + 7x = 3(5 + 2x) + -13 -2 + 7x = (5 * 3 + 2x * 3) + -13 -2 + 7x = (15 + 6x) + -13 Reorder the terms: -2 + 7x = 15 + -13 + 6x Combine like terms: 15 + -13 = 2 -2 + 7x = 2 + 6x Solving -2 + 7x = 2 + 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. -2 + 7x + -6x = 2 + 6x + -6x Combine like terms: 7x + -6x = 1x -2 + 1x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + 1x = 2 + 0 -2 + 1x = 2 Add '2' to each side of the equation. -2 + 2 + 1x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 2 + 2 1x = 2 + 2 Combine like terms: 2 + 2 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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