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Simplifying 3x + 5(x + -2) = 4x + 6 Reorder the terms: 3x + 5(-2 + x) = 4x + 6 3x + (-2 * 5 + x * 5) = 4x + 6 3x + (-10 + 5x) = 4x + 6 Reorder the terms: -10 + 3x + 5x = 4x + 6 Combine like terms: 3x + 5x = 8x -10 + 8x = 4x + 6 Reorder the terms: -10 + 8x = 6 + 4x Solving -10 + 8x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -10 + 8x + -4x = 6 + 4x + -4x Combine like terms: 8x + -4x = 4x -10 + 4x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + 4x = 6 + 0 -10 + 4x = 6 Add '10' to each side of the equation. -10 + 10 + 4x = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = 6 + 10 4x = 6 + 10 Combine like terms: 6 + 10 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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