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Simplifying 9 + -5x + 3 + -2x = 7x + -1(1 + -6x) Reorder the terms: 9 + 3 + -5x + -2x = 7x + -1(1 + -6x) Combine like terms: 9 + 3 = 12 12 + -5x + -2x = 7x + -1(1 + -6x) Combine like terms: -5x + -2x = -7x 12 + -7x = 7x + -1(1 + -6x) 12 + -7x = 7x + (1 * -1 + -6x * -1) 12 + -7x = 7x + (-1 + 6x) Reorder the terms: 12 + -7x = -1 + 7x + 6x Combine like terms: 7x + 6x = 13x 12 + -7x = -1 + 13x Solving 12 + -7x = -1 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 12 + -7x + -13x = -1 + 13x + -13x Combine like terms: -7x + -13x = -20x 12 + -20x = -1 + 13x + -13x Combine like terms: 13x + -13x = 0 12 + -20x = -1 + 0 12 + -20x = -1 Add '-12' to each side of the equation. 12 + -12 + -20x = -1 + -12 Combine like terms: 12 + -12 = 0 0 + -20x = -1 + -12 -20x = -1 + -12 Combine like terms: -1 + -12 = -13 -20x = -13 Divide each side by '-20'. x = 0.65 Simplifying x = 0.65
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