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Simplifying -208 = 4x + 7(-6x + -8) Reorder the terms: -208 = 4x + 7(-8 + -6x) -208 = 4x + (-8 * 7 + -6x * 7) -208 = 4x + (-56 + -42x) Reorder the terms: -208 = -56 + 4x + -42x Combine like terms: 4x + -42x = -38x -208 = -56 + -38x Solving -208 = -56 + -38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38x' to each side of the equation. -208 + 38x = -56 + -38x + 38x Combine like terms: -38x + 38x = 0 -208 + 38x = -56 + 0 -208 + 38x = -56 Add '208' to each side of the equation. -208 + 208 + 38x = -56 + 208 Combine like terms: -208 + 208 = 0 0 + 38x = -56 + 208 38x = -56 + 208 Combine like terms: -56 + 208 = 152 38x = 152 Divide each side by '38'. x = 4 Simplifying x = 4
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