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Simplifying 5(2x + -3) + 3x = 10x + 5 + -2x Reorder the terms: 5(-3 + 2x) + 3x = 10x + 5 + -2x (-3 * 5 + 2x * 5) + 3x = 10x + 5 + -2x (-15 + 10x) + 3x = 10x + 5 + -2x Combine like terms: 10x + 3x = 13x -15 + 13x = 10x + 5 + -2x Reorder the terms: -15 + 13x = 5 + 10x + -2x Combine like terms: 10x + -2x = 8x -15 + 13x = 5 + 8x Solving -15 + 13x = 5 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -15 + 13x + -8x = 5 + 8x + -8x Combine like terms: 13x + -8x = 5x -15 + 5x = 5 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + 5x = 5 + 0 -15 + 5x = 5 Add '15' to each side of the equation. -15 + 15 + 5x = 5 + 15 Combine like terms: -15 + 15 = 0 0 + 5x = 5 + 15 5x = 5 + 15 Combine like terms: 5 + 15 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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