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Simplifying 4(x + 5) = 2(9x + -4) Reorder the terms: 4(5 + x) = 2(9x + -4) (5 * 4 + x * 4) = 2(9x + -4) (20 + 4x) = 2(9x + -4) Reorder the terms: 20 + 4x = 2(-4 + 9x) 20 + 4x = (-4 * 2 + 9x * 2) 20 + 4x = (-8 + 18x) Solving 20 + 4x = -8 + 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. 20 + 4x + -18x = -8 + 18x + -18x Combine like terms: 4x + -18x = -14x 20 + -14x = -8 + 18x + -18x Combine like terms: 18x + -18x = 0 20 + -14x = -8 + 0 20 + -14x = -8 Add '-20' to each side of the equation. 20 + -20 + -14x = -8 + -20 Combine like terms: 20 + -20 = 0 0 + -14x = -8 + -20 -14x = -8 + -20 Combine like terms: -8 + -20 = -28 -14x = -28 Divide each side by '-14'. x = 2 Simplifying x = 2
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