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Simplifying 5x + -6 = 3(x + 7) Reorder the terms: -6 + 5x = 3(x + 7) Reorder the terms: -6 + 5x = 3(7 + x) -6 + 5x = (7 * 3 + x * 3) -6 + 5x = (21 + 3x) Solving -6 + 5x = 21 + 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. -6 + 5x + -3x = 21 + 3x + -3x Combine like terms: 5x + -3x = 2x -6 + 2x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 2x = 21 + 0 -6 + 2x = 21 Add '6' to each side of the equation. -6 + 6 + 2x = 21 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 21 + 6 2x = 21 + 6 Combine like terms: 21 + 6 = 27 2x = 27 Divide each side by '2'. x = 13.5 Simplifying x = 13.5
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