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Simplifying 5x + 2(3x + -6) = 9 + -5(2x + 1) Reorder the terms: 5x + 2(-6 + 3x) = 9 + -5(2x + 1) 5x + (-6 * 2 + 3x * 2) = 9 + -5(2x + 1) 5x + (-12 + 6x) = 9 + -5(2x + 1) Reorder the terms: -12 + 5x + 6x = 9 + -5(2x + 1) Combine like terms: 5x + 6x = 11x -12 + 11x = 9 + -5(2x + 1) Reorder the terms: -12 + 11x = 9 + -5(1 + 2x) -12 + 11x = 9 + (1 * -5 + 2x * -5) -12 + 11x = 9 + (-5 + -10x) Combine like terms: 9 + -5 = 4 -12 + 11x = 4 + -10x Solving -12 + 11x = 4 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -12 + 11x + 10x = 4 + -10x + 10x Combine like terms: 11x + 10x = 21x -12 + 21x = 4 + -10x + 10x Combine like terms: -10x + 10x = 0 -12 + 21x = 4 + 0 -12 + 21x = 4 Add '12' to each side of the equation. -12 + 12 + 21x = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 21x = 4 + 12 21x = 4 + 12 Combine like terms: 4 + 12 = 16 21x = 16 Divide each side by '21'. x = 0.7619047619 Simplifying x = 0.7619047619
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