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