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Simplifying 2x(6x + -1) + 21 = 8x + -1x(3 + -12x) Reorder the terms: 2x(-1 + 6x) + 21 = 8x + -1x(3 + -12x) (-1 * 2x + 6x * 2x) + 21 = 8x + -1x(3 + -12x) (-2x + 12x2) + 21 = 8x + -1x(3 + -12x) Reorder the terms: 21 + -2x + 12x2 = 8x + -1x(3 + -12x) 21 + -2x + 12x2 = 8x + (3 * -1x + -12x * -1x) 21 + -2x + 12x2 = 8x + (-3x + 12x2) Combine like terms: 8x + -3x = 5x 21 + -2x + 12x2 = 5x + 12x2 Add '-12x2' to each side of the equation. 21 + -2x + 12x2 + -12x2 = 5x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 21 + -2x + 0 = 5x + 12x2 + -12x2 21 + -2x = 5x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 21 + -2x = 5x + 0 21 + -2x = 5x Solving 21 + -2x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 21 + -2x + -5x = 5x + -5x Combine like terms: -2x + -5x = -7x 21 + -7x = 5x + -5x Combine like terms: 5x + -5x = 0 21 + -7x = 0 Add '-21' to each side of the equation. 21 + -21 + -7x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -7x = 0 + -21 -7x = 0 + -21 Combine like terms: 0 + -21 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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