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Simplifying 6(2x + -10) + 22 = 3x + 16 Reorder the terms: 6(-10 + 2x) + 22 = 3x + 16 (-10 * 6 + 2x * 6) + 22 = 3x + 16 (-60 + 12x) + 22 = 3x + 16 Reorder the terms: -60 + 22 + 12x = 3x + 16 Combine like terms: -60 + 22 = -38 -38 + 12x = 3x + 16 Reorder the terms: -38 + 12x = 16 + 3x Solving -38 + 12x = 16 + 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. -38 + 12x + -3x = 16 + 3x + -3x Combine like terms: 12x + -3x = 9x -38 + 9x = 16 + 3x + -3x Combine like terms: 3x + -3x = 0 -38 + 9x = 16 + 0 -38 + 9x = 16 Add '38' to each side of the equation. -38 + 38 + 9x = 16 + 38 Combine like terms: -38 + 38 = 0 0 + 9x = 16 + 38 9x = 16 + 38 Combine like terms: 16 + 38 = 54 9x = 54 Divide each side by '9'. x = 6 Simplifying x = 6
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