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Simplifying 7(x + -2) + 13 = 3(x + 5) Reorder the terms: 7(-2 + x) + 13 = 3(x + 5) (-2 * 7 + x * 7) + 13 = 3(x + 5) (-14 + 7x) + 13 = 3(x + 5) Reorder the terms: -14 + 13 + 7x = 3(x + 5) Combine like terms: -14 + 13 = -1 -1 + 7x = 3(x + 5) Reorder the terms: -1 + 7x = 3(5 + x) -1 + 7x = (5 * 3 + x * 3) -1 + 7x = (15 + 3x) Solving -1 + 7x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1 + 7x + -3x = 15 + 3x + -3x Combine like terms: 7x + -3x = 4x -1 + 4x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + 4x = 15 + 0 -1 + 4x = 15 Add '1' to each side of the equation. -1 + 1 + 4x = 15 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 15 + 1 4x = 15 + 1 Combine like terms: 15 + 1 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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