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Simplifying 1(4x + 6) = 1(9x + -24) Reorder the terms: 1(6 + 4x) = 1(9x + -24) (6 * 1 + 4x * 1) = 1(9x + -24) (6 + 4x) = 1(9x + -24) Reorder the terms: 6 + 4x = 1(-24 + 9x) 6 + 4x = (-24 * 1 + 9x * 1) 6 + 4x = (-24 + 9x) Solving 6 + 4x = -24 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 6 + 4x + -9x = -24 + 9x + -9x Combine like terms: 4x + -9x = -5x 6 + -5x = -24 + 9x + -9x Combine like terms: 9x + -9x = 0 6 + -5x = -24 + 0 6 + -5x = -24 Add '-6' to each side of the equation. 6 + -6 + -5x = -24 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = -24 + -6 -5x = -24 + -6 Combine like terms: -24 + -6 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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