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Simplifying 6(2x + -10) + 3(-3x + 2) = -102 Reorder the terms: 6(-10 + 2x) + 3(-3x + 2) = -102 (-10 * 6 + 2x * 6) + 3(-3x + 2) = -102 (-60 + 12x) + 3(-3x + 2) = -102 Reorder the terms: -60 + 12x + 3(2 + -3x) = -102 -60 + 12x + (2 * 3 + -3x * 3) = -102 -60 + 12x + (6 + -9x) = -102 Reorder the terms: -60 + 6 + 12x + -9x = -102 Combine like terms: -60 + 6 = -54 -54 + 12x + -9x = -102 Combine like terms: 12x + -9x = 3x -54 + 3x = -102 Solving -54 + 3x = -102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + 3x = -102 + 54 Combine like terms: -54 + 54 = 0 0 + 3x = -102 + 54 3x = -102 + 54 Combine like terms: -102 + 54 = -48 3x = -48 Divide each side by '3'. x = -16 Simplifying x = -16
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