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Simplifying 5x + -1(x + 3) = 3(9x + 18) + -5 Reorder the terms: 5x + -1(3 + x) = 3(9x + 18) + -5 5x + (3 * -1 + x * -1) = 3(9x + 18) + -5 5x + (-3 + -1x) = 3(9x + 18) + -5 Reorder the terms: -3 + 5x + -1x = 3(9x + 18) + -5 Combine like terms: 5x + -1x = 4x -3 + 4x = 3(9x + 18) + -5 Reorder the terms: -3 + 4x = 3(18 + 9x) + -5 -3 + 4x = (18 * 3 + 9x * 3) + -5 -3 + 4x = (54 + 27x) + -5 Reorder the terms: -3 + 4x = 54 + -5 + 27x Combine like terms: 54 + -5 = 49 -3 + 4x = 49 + 27x Solving -3 + 4x = 49 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -3 + 4x + -27x = 49 + 27x + -27x Combine like terms: 4x + -27x = -23x -3 + -23x = 49 + 27x + -27x Combine like terms: 27x + -27x = 0 -3 + -23x = 49 + 0 -3 + -23x = 49 Add '3' to each side of the equation. -3 + 3 + -23x = 49 + 3 Combine like terms: -3 + 3 = 0 0 + -23x = 49 + 3 -23x = 49 + 3 Combine like terms: 49 + 3 = 52 -23x = 52 Divide each side by '-23'. x = -2.260869565 Simplifying x = -2.260869565
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