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Simplifying 9 + -2(3x + 1) = 18 + 2x + -6 Reorder the terms: 9 + -2(1 + 3x) = 18 + 2x + -6 9 + (1 * -2 + 3x * -2) = 18 + 2x + -6 9 + (-2 + -6x) = 18 + 2x + -6 Combine like terms: 9 + -2 = 7 7 + -6x = 18 + 2x + -6 Reorder the terms: 7 + -6x = 18 + -6 + 2x Combine like terms: 18 + -6 = 12 7 + -6x = 12 + 2x Solving 7 + -6x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + -6x + -2x = 12 + 2x + -2x Combine like terms: -6x + -2x = -8x 7 + -8x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + -8x = 12 + 0 7 + -8x = 12 Add '-7' to each side of the equation. 7 + -7 + -8x = 12 + -7 Combine like terms: 7 + -7 = 0 0 + -8x = 12 + -7 -8x = 12 + -7 Combine like terms: 12 + -7 = 5 -8x = 5 Divide each side by '-8'. x = -0.625 Simplifying x = -0.625
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