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Simplifying -38 + 5x = -8(-6 + -6x) -38 + 5x = (-6 * -8 + -6x * -8) -38 + 5x = (48 + 48x) Solving -38 + 5x = 48 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. -38 + 5x + -48x = 48 + 48x + -48x Combine like terms: 5x + -48x = -43x -38 + -43x = 48 + 48x + -48x Combine like terms: 48x + -48x = 0 -38 + -43x = 48 + 0 -38 + -43x = 48 Add '38' to each side of the equation. -38 + 38 + -43x = 48 + 38 Combine like terms: -38 + 38 = 0 0 + -43x = 48 + 38 -43x = 48 + 38 Combine like terms: 48 + 38 = 86 -43x = 86 Divide each side by '-43'. x = -2 Simplifying x = -2
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