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Simplifying 5x + -1(x + 3) = 2(9x + 18) + -5 Reorder the terms: 5x + -1(3 + x) = 2(9x + 18) + -5 5x + (3 * -1 + x * -1) = 2(9x + 18) + -5 5x + (-3 + -1x) = 2(9x + 18) + -5 Reorder the terms: -3 + 5x + -1x = 2(9x + 18) + -5 Combine like terms: 5x + -1x = 4x -3 + 4x = 2(9x + 18) + -5 Reorder the terms: -3 + 4x = 2(18 + 9x) + -5 -3 + 4x = (18 * 2 + 9x * 2) + -5 -3 + 4x = (36 + 18x) + -5 Reorder the terms: -3 + 4x = 36 + -5 + 18x Combine like terms: 36 + -5 = 31 -3 + 4x = 31 + 18x Solving -3 + 4x = 31 + 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. -3 + 4x + -18x = 31 + 18x + -18x Combine like terms: 4x + -18x = -14x -3 + -14x = 31 + 18x + -18x Combine like terms: 18x + -18x = 0 -3 + -14x = 31 + 0 -3 + -14x = 31 Add '3' to each side of the equation. -3 + 3 + -14x = 31 + 3 Combine like terms: -3 + 3 = 0 0 + -14x = 31 + 3 -14x = 31 + 3 Combine like terms: 31 + 3 = 34 -14x = 34 Divide each side by '-14'. x = -2.428571429 Simplifying x = -2.428571429
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