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Simplifying 3x + 5(x + -2) = 6(x + 4) Reorder the terms: 3x + 5(-2 + x) = 6(x + 4) 3x + (-2 * 5 + x * 5) = 6(x + 4) 3x + (-10 + 5x) = 6(x + 4) Reorder the terms: -10 + 3x + 5x = 6(x + 4) Combine like terms: 3x + 5x = 8x -10 + 8x = 6(x + 4) Reorder the terms: -10 + 8x = 6(4 + x) -10 + 8x = (4 * 6 + x * 6) -10 + 8x = (24 + 6x) Solving -10 + 8x = 24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -10 + 8x + -6x = 24 + 6x + -6x Combine like terms: 8x + -6x = 2x -10 + 2x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + 2x = 24 + 0 -10 + 2x = 24 Add '10' to each side of the equation. -10 + 10 + 2x = 24 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 24 + 10 2x = 24 + 10 Combine like terms: 24 + 10 = 34 2x = 34 Divide each side by '2'. x = 17 Simplifying x = 17
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