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Simplifying 3(2x + 1) + -4(2x + -6x) + -6 = 0 Reorder the terms: 3(1 + 2x) + -4(2x + -6x) + -6 = 0 (1 * 3 + 2x * 3) + -4(2x + -6x) + -6 = 0 (3 + 6x) + -4(2x + -6x) + -6 = 0 Combine like terms: 2x + -6x = -4x 3 + 6x + -4(-4x) + -6 = 0 Remove parenthesis around (-4x) 3 + 6x + -4 * -4x + -6 = 0 Multiply -4 * -4 3 + 6x + 16x + -6 = 0 Reorder the terms: 3 + -6 + 6x + 16x = 0 Combine like terms: 3 + -6 = -3 -3 + 6x + 16x = 0 Combine like terms: 6x + 16x = 22x -3 + 22x = 0 Solving -3 + 22x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 22x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 22x = 0 + 3 22x = 0 + 3 Combine like terms: 0 + 3 = 3 22x = 3 Divide each side by '22'. x = 0.1363636364 Simplifying x = 0.1363636364
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