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Simplifying 5(2x + -3) + 5x = 3(3x + 1) + 2 + x Reorder the terms: 5(-3 + 2x) + 5x = 3(3x + 1) + 2 + x (-3 * 5 + 2x * 5) + 5x = 3(3x + 1) + 2 + x (-15 + 10x) + 5x = 3(3x + 1) + 2 + x Combine like terms: 10x + 5x = 15x -15 + 15x = 3(3x + 1) + 2 + x Reorder the terms: -15 + 15x = 3(1 + 3x) + 2 + x -15 + 15x = (1 * 3 + 3x * 3) + 2 + x -15 + 15x = (3 + 9x) + 2 + x Reorder the terms: -15 + 15x = 3 + 2 + 9x + x Combine like terms: 3 + 2 = 5 -15 + 15x = 5 + 9x + x Combine like terms: 9x + x = 10x -15 + 15x = 5 + 10x Solving -15 + 15x = 5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -15 + 15x + -10x = 5 + 10x + -10x Combine like terms: 15x + -10x = 5x -15 + 5x = 5 + 10x + -10x Combine like terms: 10x + -10x = 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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