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Simplifying 3x(4x + -5) + -12 = 6x(2x + -3) Reorder the terms: 3x(-5 + 4x) + -12 = 6x(2x + -3) (-5 * 3x + 4x * 3x) + -12 = 6x(2x + -3) (-15x + 12x2) + -12 = 6x(2x + -3) Reorder the terms: -12 + -15x + 12x2 = 6x(2x + -3) Reorder the terms: -12 + -15x + 12x2 = 6x(-3 + 2x) -12 + -15x + 12x2 = (-3 * 6x + 2x * 6x) -12 + -15x + 12x2 = (-18x + 12x2) Add '-12x2' to each side of the equation. -12 + -15x + 12x2 + -12x2 = -18x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -12 + -15x + 0 = -18x + 12x2 + -12x2 -12 + -15x = -18x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -12 + -15x = -18x + 0 -12 + -15x = -18x Solving -12 + -15x = -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -12 + -15x + 18x = -18x + 18x Combine like terms: -15x + 18x = 3x -12 + 3x = -18x + 18x Combine like terms: -18x + 18x = 0 -12 + 3x = 0 Add '12' to each side of the equation. -12 + 12 + 3x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = 0 + 12 3x = 0 + 12 Combine like terms: 0 + 12 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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