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Simplifying 3x(2x + -4) + 1 = 2x(3x + 2) + 13 Reorder the terms: 3x(-4 + 2x) + 1 = 2x(3x + 2) + 13 (-4 * 3x + 2x * 3x) + 1 = 2x(3x + 2) + 13 (-12x + 6x2) + 1 = 2x(3x + 2) + 13 Reorder the terms: 1 + -12x + 6x2 = 2x(3x + 2) + 13 Reorder the terms: 1 + -12x + 6x2 = 2x(2 + 3x) + 13 1 + -12x + 6x2 = (2 * 2x + 3x * 2x) + 13 1 + -12x + 6x2 = (4x + 6x2) + 13 Reorder the terms: 1 + -12x + 6x2 = 13 + 4x + 6x2 Add '-6x2' to each side of the equation. 1 + -12x + 6x2 + -6x2 = 13 + 4x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 1 + -12x + 0 = 13 + 4x + 6x2 + -6x2 1 + -12x = 13 + 4x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 1 + -12x = 13 + 4x + 0 1 + -12x = 13 + 4x Solving 1 + -12x = 13 + 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. 1 + -12x + -4x = 13 + 4x + -4x Combine like terms: -12x + -4x = -16x 1 + -16x = 13 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + -16x = 13 + 0 1 + -16x = 13 Add '-1' to each side of the equation. 1 + -1 + -16x = 13 + -1 Combine like terms: 1 + -1 = 0 0 + -16x = 13 + -1 -16x = 13 + -1 Combine like terms: 13 + -1 = 12 -16x = 12 Divide each side by '-16'. x = -0.75 Simplifying x = -0.75
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