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Simplifying -38(x + 4) + 15 = 6 + -4x Reorder the terms: -38(4 + x) + 15 = 6 + -4x (4 * -38 + x * -38) + 15 = 6 + -4x (-152 + -38x) + 15 = 6 + -4x Reorder the terms: -152 + 15 + -38x = 6 + -4x Combine like terms: -152 + 15 = -137 -137 + -38x = 6 + -4x Solving -137 + -38x = 6 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -137 + -38x + 4x = 6 + -4x + 4x Combine like terms: -38x + 4x = -34x -137 + -34x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 -137 + -34x = 6 + 0 -137 + -34x = 6 Add '137' to each side of the equation. -137 + 137 + -34x = 6 + 137 Combine like terms: -137 + 137 = 0 0 + -34x = 6 + 137 -34x = 6 + 137 Combine like terms: 6 + 137 = 143 -34x = 143 Divide each side by '-34'. x = -4.205882353 Simplifying x = -4.205882353
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