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Simplifying -4x + 38 = 2(x + -8) Reorder the terms: 38 + -4x = 2(x + -8) Reorder the terms: 38 + -4x = 2(-8 + x) 38 + -4x = (-8 * 2 + x * 2) 38 + -4x = (-16 + 2x) Solving 38 + -4x = -16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 38 + -4x + -2x = -16 + 2x + -2x Combine like terms: -4x + -2x = -6x 38 + -6x = -16 + 2x + -2x Combine like terms: 2x + -2x = 0 38 + -6x = -16 + 0 38 + -6x = -16 Add '-38' to each side of the equation. 38 + -38 + -6x = -16 + -38 Combine like terms: 38 + -38 = 0 0 + -6x = -16 + -38 -6x = -16 + -38 Combine like terms: -16 + -38 = -54 -6x = -54 Divide each side by '-6'. x = 9 Simplifying x = 9
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