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Simplifying -62 = -4x + -6(-4x + -13) Reorder the terms: -62 = -4x + -6(-13 + -4x) -62 = -4x + (-13 * -6 + -4x * -6) -62 = -4x + (78 + 24x) Reorder the terms: -62 = 78 + -4x + 24x Combine like terms: -4x + 24x = 20x -62 = 78 + 20x Solving -62 = 78 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -62 + -20x = 78 + 20x + -20x Combine like terms: 20x + -20x = 0 -62 + -20x = 78 + 0 -62 + -20x = 78 Add '62' to each side of the equation. -62 + 62 + -20x = 78 + 62 Combine like terms: -62 + 62 = 0 0 + -20x = 78 + 62 -20x = 78 + 62 Combine like terms: 78 + 62 = 140 -20x = 140 Divide each side by '-20'. x = -7 Simplifying x = -7
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