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Simplifying 3x + -1(2 + x) + 2x + -3 = 52 3x + (2 * -1 + x * -1) + 2x + -3 = 52 3x + (-2 + -1x) + 2x + -3 = 52 Reorder the terms: -2 + -3 + 3x + -1x + 2x = 52 Combine like terms: -2 + -3 = -5 -5 + 3x + -1x + 2x = 52 Combine like terms: 3x + -1x = 2x -5 + 2x + 2x = 52 Combine like terms: 2x + 2x = 4x -5 + 4x = 52 Solving -5 + 4x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 4x = 52 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 52 + 5 4x = 52 + 5 Combine like terms: 52 + 5 = 57 4x = 57 Divide each side by '4'. x = 14.25 Simplifying x = 14.25
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