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Simplifying 5(2x + -3) + -3x = 4x + -5 Reorder the terms: 5(-3 + 2x) + -3x = 4x + -5 (-3 * 5 + 2x * 5) + -3x = 4x + -5 (-15 + 10x) + -3x = 4x + -5 Combine like terms: 10x + -3x = 7x -15 + 7x = 4x + -5 Reorder the terms: -15 + 7x = -5 + 4x Solving -15 + 7x = -5 + 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. -15 + 7x + -4x = -5 + 4x + -4x Combine like terms: 7x + -4x = 3x -15 + 3x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 -15 + 3x = -5 + 0 -15 + 3x = -5 Add '15' to each side of the equation. -15 + 15 + 3x = -5 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = -5 + 15 3x = -5 + 15 Combine like terms: -5 + 15 = 10 3x = 10 Divide each side by '3'. x = 3.333333333 Simplifying x = 3.333333333
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