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Simplifying 7(9x + 2) = 4(4x + -1) Reorder the terms: 7(2 + 9x) = 4(4x + -1) (2 * 7 + 9x * 7) = 4(4x + -1) (14 + 63x) = 4(4x + -1) Reorder the terms: 14 + 63x = 4(-1 + 4x) 14 + 63x = (-1 * 4 + 4x * 4) 14 + 63x = (-4 + 16x) Solving 14 + 63x = -4 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 14 + 63x + -16x = -4 + 16x + -16x Combine like terms: 63x + -16x = 47x 14 + 47x = -4 + 16x + -16x Combine like terms: 16x + -16x = 0 14 + 47x = -4 + 0 14 + 47x = -4 Add '-14' to each side of the equation. 14 + -14 + 47x = -4 + -14 Combine like terms: 14 + -14 = 0 0 + 47x = -4 + -14 47x = -4 + -14 Combine like terms: -4 + -14 = -18 47x = -18 Divide each side by '47'. x = -0.3829787234 Simplifying x = -0.3829787234
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