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Simplifying 9 + -2(2x + 1) = 6(1 + -1x) Reorder the terms: 9 + -2(1 + 2x) = 6(1 + -1x) 9 + (1 * -2 + 2x * -2) = 6(1 + -1x) 9 + (-2 + -4x) = 6(1 + -1x) Combine like terms: 9 + -2 = 7 7 + -4x = 6(1 + -1x) 7 + -4x = (1 * 6 + -1x * 6) 7 + -4x = (6 + -6x) Solving 7 + -4x = 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. 7 + -4x + 6x = 6 + -6x + 6x Combine like terms: -4x + 6x = 2x 7 + 2x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 7 + 2x = 6 + 0 7 + 2x = 6 Add '-7' to each side of the equation. 7 + -7 + 2x = 6 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 6 + -7 2x = 6 + -7 Combine like terms: 6 + -7 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5
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