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Simplifying 6x(3 + -2x) = 5 + 4x(7 + -3x) (3 * 6x + -2x * 6x) = 5 + 4x(7 + -3x) (18x + -12x2) = 5 + 4x(7 + -3x) 18x + -12x2 = 5 + (7 * 4x + -3x * 4x) 18x + -12x2 = 5 + (28x + -12x2) Add '12x2' to each side of the equation. 18x + -12x2 + 12x2 = 5 + 28x + -12x2 + 12x2 Combine like terms: -12x2 + 12x2 = 0 18x + 0 = 5 + 28x + -12x2 + 12x2 18x = 5 + 28x + -12x2 + 12x2 Combine like terms: -12x2 + 12x2 = 0 18x = 5 + 28x + 0 18x = 5 + 28x Solving 18x = 5 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 18x + -28x = 5 + 28x + -28x Combine like terms: 18x + -28x = -10x -10x = 5 + 28x + -28x Combine like terms: 28x + -28x = 0 -10x = 5 + 0 -10x = 5 Divide each side by '-10'. x = -0.5 Simplifying x = -0.5
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