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Simplifying -38 + -5x = 3x + 6(x + 3) Reorder the terms: -38 + -5x = 3x + 6(3 + x) -38 + -5x = 3x + (3 * 6 + x * 6) -38 + -5x = 3x + (18 + 6x) Reorder the terms: -38 + -5x = 18 + 3x + 6x Combine like terms: 3x + 6x = 9x -38 + -5x = 18 + 9x Solving -38 + -5x = 18 + 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. -38 + -5x + -9x = 18 + 9x + -9x Combine like terms: -5x + -9x = -14x -38 + -14x = 18 + 9x + -9x Combine like terms: 9x + -9x = 0 -38 + -14x = 18 + 0 -38 + -14x = 18 Add '38' to each side of the equation. -38 + 38 + -14x = 18 + 38 Combine like terms: -38 + 38 = 0 0 + -14x = 18 + 38 -14x = 18 + 38 Combine like terms: 18 + 38 = 56 -14x = 56 Divide each side by '-14'. x = -4 Simplifying x = -4
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