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Simplifying 7x + -2x + 5(2x + -3) + 10x = 4x + -3 Reorder the terms: 7x + -2x + 5(-3 + 2x) + 10x = 4x + -3 7x + -2x + (-3 * 5 + 2x * 5) + 10x = 4x + -3 7x + -2x + (-15 + 10x) + 10x = 4x + -3 Reorder the terms: -15 + 7x + -2x + 10x + 10x = 4x + -3 Combine like terms: 7x + -2x = 5x -15 + 5x + 10x + 10x = 4x + -3 Combine like terms: 5x + 10x = 15x -15 + 15x + 10x = 4x + -3 Combine like terms: 15x + 10x = 25x -15 + 25x = 4x + -3 Reorder the terms: -15 + 25x = -3 + 4x Solving -15 + 25x = -3 + 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 + 25x + -4x = -3 + 4x + -4x Combine like terms: 25x + -4x = 21x -15 + 21x = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 -15 + 21x = -3 + 0 -15 + 21x = -3 Add '15' to each side of the equation. -15 + 15 + 21x = -3 + 15 Combine like terms: -15 + 15 = 0 0 + 21x = -3 + 15 21x = -3 + 15 Combine like terms: -3 + 15 = 12 21x = 12 Divide each side by '21'. x = 0.5714285714 Simplifying x = 0.5714285714
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