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Simplifying 2(2x + 9) = 4x + 3 + -5(6 + -1x) Reorder the terms: 2(9 + 2x) = 4x + 3 + -5(6 + -1x) (9 * 2 + 2x * 2) = 4x + 3 + -5(6 + -1x) (18 + 4x) = 4x + 3 + -5(6 + -1x) 18 + 4x = 4x + 3 + (6 * -5 + -1x * -5) 18 + 4x = 4x + 3 + (-30 + 5x) Reorder the terms: 18 + 4x = 3 + -30 + 4x + 5x Combine like terms: 3 + -30 = -27 18 + 4x = -27 + 4x + 5x Combine like terms: 4x + 5x = 9x 18 + 4x = -27 + 9x Solving 18 + 4x = -27 + 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. 18 + 4x + -9x = -27 + 9x + -9x Combine like terms: 4x + -9x = -5x 18 + -5x = -27 + 9x + -9x Combine like terms: 9x + -9x = 0 18 + -5x = -27 + 0 18 + -5x = -27 Add '-18' to each side of the equation. 18 + -18 + -5x = -27 + -18 Combine like terms: 18 + -18 = 0 0 + -5x = -27 + -18 -5x = -27 + -18 Combine like terms: -27 + -18 = -45 -5x = -45 Divide each side by '-5'. x = 9 Simplifying x = 9
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