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Simplifying 5x + -3(4x + 2) = 7(x + 3) Reorder the terms: 5x + -3(2 + 4x) = 7(x + 3) 5x + (2 * -3 + 4x * -3) = 7(x + 3) 5x + (-6 + -12x) = 7(x + 3) Reorder the terms: -6 + 5x + -12x = 7(x + 3) Combine like terms: 5x + -12x = -7x -6 + -7x = 7(x + 3) Reorder the terms: -6 + -7x = 7(3 + x) -6 + -7x = (3 * 7 + x * 7) -6 + -7x = (21 + 7x) Solving -6 + -7x = 21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -6 + -7x + -7x = 21 + 7x + -7x Combine like terms: -7x + -7x = -14x -6 + -14x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -14x = 21 + 0 -6 + -14x = 21 Add '6' to each side of the equation. -6 + 6 + -14x = 21 + 6 Combine like terms: -6 + 6 = 0 0 + -14x = 21 + 6 -14x = 21 + 6 Combine like terms: 21 + 6 = 27 -14x = 27 Divide each side by '-14'. x = -1.928571429 Simplifying x = -1.928571429
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