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Simplifying 4x + 6(-4x + 13) = -102 Reorder the terms: 4x + 6(13 + -4x) = -102 4x + (13 * 6 + -4x * 6) = -102 4x + (78 + -24x) = -102 Reorder the terms: 78 + 4x + -24x = -102 Combine like terms: 4x + -24x = -20x 78 + -20x = -102 Solving 78 + -20x = -102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-78' to each side of the equation. 78 + -78 + -20x = -102 + -78 Combine like terms: 78 + -78 = 0 0 + -20x = -102 + -78 -20x = -102 + -78 Combine like terms: -102 + -78 = -180 -20x = -180 Divide each side by '-20'. x = 9 Simplifying x = 9
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