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Simplifying 7(9x + 2) = 11(16x + -4) Reorder the terms: 7(2 + 9x) = 11(16x + -4) (2 * 7 + 9x * 7) = 11(16x + -4) (14 + 63x) = 11(16x + -4) Reorder the terms: 14 + 63x = 11(-4 + 16x) 14 + 63x = (-4 * 11 + 16x * 11) 14 + 63x = (-44 + 176x) Solving 14 + 63x = -44 + 176x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-176x' to each side of the equation. 14 + 63x + -176x = -44 + 176x + -176x Combine like terms: 63x + -176x = -113x 14 + -113x = -44 + 176x + -176x Combine like terms: 176x + -176x = 0 14 + -113x = -44 + 0 14 + -113x = -44 Add '-14' to each side of the equation. 14 + -14 + -113x = -44 + -14 Combine like terms: 14 + -14 = 0 0 + -113x = -44 + -14 -113x = -44 + -14 Combine like terms: -44 + -14 = -58 -113x = -58 Divide each side by '-113'. x = 0.5132743363 Simplifying x = 0.5132743363
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