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Simplifying 2 * 2(x + 1) = 3 * 3(2x + -1) Reorder the terms: 2 * 2(1 + x) = 3 * 3(2x + -1) Multiply 2 * 2 4(1 + x) = 3 * 3(2x + -1) (1 * 4 + x * 4) = 3 * 3(2x + -1) (4 + 4x) = 3 * 3(2x + -1) Reorder the terms: 4 + 4x = 3 * 3(-1 + 2x) Multiply 3 * 3 4 + 4x = 9(-1 + 2x) 4 + 4x = (-1 * 9 + 2x * 9) 4 + 4x = (-9 + 18x) Solving 4 + 4x = -9 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 4 + 4x + -18x = -9 + 18x + -18x Combine like terms: 4x + -18x = -14x 4 + -14x = -9 + 18x + -18x Combine like terms: 18x + -18x = 0 4 + -14x = -9 + 0 4 + -14x = -9 Add '-4' to each side of the equation. 4 + -4 + -14x = -9 + -4 Combine like terms: 4 + -4 = 0 0 + -14x = -9 + -4 -14x = -9 + -4 Combine like terms: -9 + -4 = -13 -14x = -13 Divide each side by '-14'. x = 0.9285714286 Simplifying x = 0.9285714286
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