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Simplifying -2(2x + -6) + 9x = 6 + 4(5x + -1) Reorder the terms: -2(-6 + 2x) + 9x = 6 + 4(5x + -1) (-6 * -2 + 2x * -2) + 9x = 6 + 4(5x + -1) (12 + -4x) + 9x = 6 + 4(5x + -1) Combine like terms: -4x + 9x = 5x 12 + 5x = 6 + 4(5x + -1) Reorder the terms: 12 + 5x = 6 + 4(-1 + 5x) 12 + 5x = 6 + (-1 * 4 + 5x * 4) 12 + 5x = 6 + (-4 + 20x) Combine like terms: 6 + -4 = 2 12 + 5x = 2 + 20x Solving 12 + 5x = 2 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 12 + 5x + -20x = 2 + 20x + -20x Combine like terms: 5x + -20x = -15x 12 + -15x = 2 + 20x + -20x Combine like terms: 20x + -20x = 0 12 + -15x = 2 + 0 12 + -15x = 2 Add '-12' to each side of the equation. 12 + -12 + -15x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -15x = 2 + -12 -15x = 2 + -12 Combine like terms: 2 + -12 = -10 -15x = -10 Divide each side by '-15'. x = 0.6666666667 Simplifying x = 0.6666666667
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