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Simplifying 2x(3 + -1x) + 12 = 5x + -1x(2x + -8) (3 * 2x + -1x * 2x) + 12 = 5x + -1x(2x + -8) (6x + -2x2) + 12 = 5x + -1x(2x + -8) Reorder the terms: 12 + 6x + -2x2 = 5x + -1x(2x + -8) Reorder the terms: 12 + 6x + -2x2 = 5x + -1x(-8 + 2x) 12 + 6x + -2x2 = 5x + (-8 * -1x + 2x * -1x) 12 + 6x + -2x2 = 5x + (8x + -2x2) Combine like terms: 5x + 8x = 13x 12 + 6x + -2x2 = 13x + -2x2 Add '2x2' to each side of the equation. 12 + 6x + -2x2 + 2x2 = 13x + -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 12 + 6x + 0 = 13x + -2x2 + 2x2 12 + 6x = 13x + -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 12 + 6x = 13x + 0 12 + 6x = 13x Solving 12 + 6x = 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 12 + 6x + -13x = 13x + -13x Combine like terms: 6x + -13x = -7x 12 + -7x = 13x + -13x Combine like terms: 13x + -13x = 0 12 + -7x = 0 Add '-12' to each side of the equation. 12 + -12 + -7x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -7x = 0 + -12 -7x = 0 + -12 Combine like terms: 0 + -12 = -12 -7x = -12 Divide each side by '-7'. x = 1.714285714 Simplifying x = 1.714285714
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