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Simplifying 6 + 4(3x + -5) = 9 + -3(2x + 1) Reorder the terms: 6 + 4(-5 + 3x) = 9 + -3(2x + 1) 6 + (-5 * 4 + 3x * 4) = 9 + -3(2x + 1) 6 + (-20 + 12x) = 9 + -3(2x + 1) Combine like terms: 6 + -20 = -14 -14 + 12x = 9 + -3(2x + 1) Reorder the terms: -14 + 12x = 9 + -3(1 + 2x) -14 + 12x = 9 + (1 * -3 + 2x * -3) -14 + 12x = 9 + (-3 + -6x) Combine like terms: 9 + -3 = 6 -14 + 12x = 6 + -6x Solving -14 + 12x = 6 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -14 + 12x + 6x = 6 + -6x + 6x Combine like terms: 12x + 6x = 18x -14 + 18x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 -14 + 18x = 6 + 0 -14 + 18x = 6 Add '14' to each side of the equation. -14 + 14 + 18x = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 18x = 6 + 14 18x = 6 + 14 Combine like terms: 6 + 14 = 20 18x = 20 Divide each side by '18'. x = 1.111111111 Simplifying x = 1.111111111
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