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Simplifying 7x + 5(x + -3) + 10 = x(2 + -6x) + 2x(3 + 3x) + 3 Reorder the terms: 7x + 5(-3 + x) + 10 = x(2 + -6x) + 2x(3 + 3x) + 3 7x + (-3 * 5 + x * 5) + 10 = x(2 + -6x) + 2x(3 + 3x) + 3 7x + (-15 + 5x) + 10 = x(2 + -6x) + 2x(3 + 3x) + 3 Reorder the terms: -15 + 10 + 7x + 5x = x(2 + -6x) + 2x(3 + 3x) + 3 Combine like terms: -15 + 10 = -5 -5 + 7x + 5x = x(2 + -6x) + 2x(3 + 3x) + 3 Combine like terms: 7x + 5x = 12x -5 + 12x = x(2 + -6x) + 2x(3 + 3x) + 3 -5 + 12x = (2 * x + -6x * x) + 2x(3 + 3x) + 3 -5 + 12x = (2x + -6x2) + 2x(3 + 3x) + 3 -5 + 12x = 2x + -6x2 + (3 * 2x + 3x * 2x) + 3 -5 + 12x = 2x + -6x2 + (6x + 6x2) + 3 Reorder the terms: -5 + 12x = 3 + 2x + 6x + -6x2 + 6x2 Combine like terms: 2x + 6x = 8x -5 + 12x = 3 + 8x + -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 -5 + 12x = 3 + 8x + 0 -5 + 12x = 3 + 8x Solving -5 + 12x = 3 + 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. -5 + 12x + -8x = 3 + 8x + -8x Combine like terms: 12x + -8x = 4x -5 + 4x = 3 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + 4x = 3 + 0 -5 + 4x = 3 Add '5' to each side of the equation. -5 + 5 + 4x = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 3 + 5 4x = 3 + 5 Combine like terms: 3 + 5 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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