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Simplifying 4x + 2(3x + -5) = 2x + 10 Reorder the terms: 4x + 2(-5 + 3x) = 2x + 10 4x + (-5 * 2 + 3x * 2) = 2x + 10 4x + (-10 + 6x) = 2x + 10 Reorder the terms: -10 + 4x + 6x = 2x + 10 Combine like terms: 4x + 6x = 10x -10 + 10x = 2x + 10 Reorder the terms: -10 + 10x = 10 + 2x Solving -10 + 10x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -10 + 10x + -2x = 10 + 2x + -2x Combine like terms: 10x + -2x = 8x -10 + 8x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 8x = 10 + 0 -10 + 8x = 10 Add '10' to each side of the equation. -10 + 10 + 8x = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 8x = 10 + 10 8x = 10 + 10 Combine like terms: 10 + 10 = 20 8x = 20 Divide each side by '8'. x = 2.5 Simplifying x = 2.5
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