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Simplifying 4x + -2(3 + -5x) = 6x + 10 4x + (3 * -2 + -5x * -2) = 6x + 10 4x + (-6 + 10x) = 6x + 10 Reorder the terms: -6 + 4x + 10x = 6x + 10 Combine like terms: 4x + 10x = 14x -6 + 14x = 6x + 10 Reorder the terms: -6 + 14x = 10 + 6x Solving -6 + 14x = 10 + 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. -6 + 14x + -6x = 10 + 6x + -6x Combine like terms: 14x + -6x = 8x -6 + 8x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 8x = 10 + 0 -6 + 8x = 10 Add '6' to each side of the equation. -6 + 6 + 8x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = 10 + 6 8x = 10 + 6 Combine like terms: 10 + 6 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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