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Simplifying 5(3x + -7) + 2(x + 4) = 12x Reorder the terms: 5(-7 + 3x) + 2(x + 4) = 12x (-7 * 5 + 3x * 5) + 2(x + 4) = 12x (-35 + 15x) + 2(x + 4) = 12x Reorder the terms: -35 + 15x + 2(4 + x) = 12x -35 + 15x + (4 * 2 + x * 2) = 12x -35 + 15x + (8 + 2x) = 12x Reorder the terms: -35 + 8 + 15x + 2x = 12x Combine like terms: -35 + 8 = -27 -27 + 15x + 2x = 12x Combine like terms: 15x + 2x = 17x -27 + 17x = 12x Solving -27 + 17x = 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. -27 + 17x + -12x = 12x + -12x Combine like terms: 17x + -12x = 5x -27 + 5x = 12x + -12x Combine like terms: 12x + -12x = 0 -27 + 5x = 0 Add '27' to each side of the equation. -27 + 27 + 5x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 5x = 0 + 27 5x = 0 + 27 Combine like terms: 0 + 27 = 27 5x = 27 Divide each side by '5'. x = 5.4 Simplifying x = 5.4
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