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Simplifying 5(3x + -2) + -1x = 12x + 6 Reorder the terms: 5(-2 + 3x) + -1x = 12x + 6 (-2 * 5 + 3x * 5) + -1x = 12x + 6 (-10 + 15x) + -1x = 12x + 6 Combine like terms: 15x + -1x = 14x -10 + 14x = 12x + 6 Reorder the terms: -10 + 14x = 6 + 12x Solving -10 + 14x = 6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -10 + 14x + -12x = 6 + 12x + -12x Combine like terms: 14x + -12x = 2x -10 + 2x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 -10 + 2x = 6 + 0 -10 + 2x = 6 Add '10' to each side of the equation. -10 + 10 + 2x = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 6 + 10 2x = 6 + 10 Combine like terms: 6 + 10 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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