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Simplifying 4x + -6(4x + -17) = -58 Reorder the terms: 4x + -6(-17 + 4x) = -58 4x + (-17 * -6 + 4x * -6) = -58 4x + (102 + -24x) = -58 Reorder the terms: 102 + 4x + -24x = -58 Combine like terms: 4x + -24x = -20x 102 + -20x = -58 Solving 102 + -20x = -58 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-102' to each side of the equation. 102 + -102 + -20x = -58 + -102 Combine like terms: 102 + -102 = 0 0 + -20x = -58 + -102 -20x = -58 + -102 Combine like terms: -58 + -102 = -160 -20x = -160 Divide each side by '-20'. x = 8 Simplifying x = 8
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