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Simplifying 4(9x + 2) + 8x = 4(x + -18) Reorder the terms: 4(2 + 9x) + 8x = 4(x + -18) (2 * 4 + 9x * 4) + 8x = 4(x + -18) (8 + 36x) + 8x = 4(x + -18) Combine like terms: 36x + 8x = 44x 8 + 44x = 4(x + -18) Reorder the terms: 8 + 44x = 4(-18 + x) 8 + 44x = (-18 * 4 + x * 4) 8 + 44x = (-72 + 4x) Solving 8 + 44x = -72 + 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. 8 + 44x + -4x = -72 + 4x + -4x Combine like terms: 44x + -4x = 40x 8 + 40x = -72 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 40x = -72 + 0 8 + 40x = -72 Add '-8' to each side of the equation. 8 + -8 + 40x = -72 + -8 Combine like terms: 8 + -8 = 0 0 + 40x = -72 + -8 40x = -72 + -8 Combine like terms: -72 + -8 = -80 40x = -80 Divide each side by '40'. x = -2 Simplifying x = -2
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