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Simplifying 5(3x + -2) + 6x = 52 Reorder the terms: 5(-2 + 3x) + 6x = 52 (-2 * 5 + 3x * 5) + 6x = 52 (-10 + 15x) + 6x = 52 Combine like terms: 15x + 6x = 21x -10 + 21x = 52 Solving -10 + 21x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 21x = 52 + 10 Combine like terms: -10 + 10 = 0 0 + 21x = 52 + 10 21x = 52 + 10 Combine like terms: 52 + 10 = 62 21x = 62 Divide each side by '21'. x = 2.952380952 Simplifying x = 2.952380952
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