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Simplifying 2(9x + 1) = 2(2x + -2) Reorder the terms: 2(1 + 9x) = 2(2x + -2) (1 * 2 + 9x * 2) = 2(2x + -2) (2 + 18x) = 2(2x + -2) Reorder the terms: 2 + 18x = 2(-2 + 2x) 2 + 18x = (-2 * 2 + 2x * 2) 2 + 18x = (-4 + 4x) Solving 2 + 18x = -4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + 18x + -4x = -4 + 4x + -4x Combine like terms: 18x + -4x = 14x 2 + 14x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 14x = -4 + 0 2 + 14x = -4 Add '-2' to each side of the equation. 2 + -2 + 14x = -4 + -2 Combine like terms: 2 + -2 = 0 0 + 14x = -4 + -2 14x = -4 + -2 Combine like terms: -4 + -2 = -6 14x = -6 Divide each side by '14'. x = -0.4285714286 Simplifying x = -0.4285714286
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