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Simplifying -8x + 38 = -6(x + -8) Reorder the terms: 38 + -8x = -6(x + -8) Reorder the terms: 38 + -8x = -6(-8 + x) 38 + -8x = (-8 * -6 + x * -6) 38 + -8x = (48 + -6x) Solving 38 + -8x = 48 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 38 + -8x + 6x = 48 + -6x + 6x Combine like terms: -8x + 6x = -2x 38 + -2x = 48 + -6x + 6x Combine like terms: -6x + 6x = 0 38 + -2x = 48 + 0 38 + -2x = 48 Add '-38' to each side of the equation. 38 + -38 + -2x = 48 + -38 Combine like terms: 38 + -38 = 0 0 + -2x = 48 + -38 -2x = 48 + -38 Combine like terms: 48 + -38 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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