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Simplifying 2(x + -5) + 3x = 4x + -2 Reorder the terms: 2(-5 + x) + 3x = 4x + -2 (-5 * 2 + x * 2) + 3x = 4x + -2 (-10 + 2x) + 3x = 4x + -2 Combine like terms: 2x + 3x = 5x -10 + 5x = 4x + -2 Reorder the terms: -10 + 5x = -2 + 4x Solving -10 + 5x = -2 + 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 + 5x + -4x = -2 + 4x + -4x Combine like terms: 5x + -4x = 1x -10 + 1x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + 1x = -2 + 0 -10 + 1x = -2 Add '10' to each side of the equation. -10 + 10 + 1x = -2 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = -2 + 10 1x = -2 + 10 Combine like terms: -2 + 10 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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