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Simplifying 3(-6x + 7) + -5x = 4x + 102 Reorder the terms: 3(7 + -6x) + -5x = 4x + 102 (7 * 3 + -6x * 3) + -5x = 4x + 102 (21 + -18x) + -5x = 4x + 102 Combine like terms: -18x + -5x = -23x 21 + -23x = 4x + 102 Reorder the terms: 21 + -23x = 102 + 4x Solving 21 + -23x = 102 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 21 + -23x + -4x = 102 + 4x + -4x Combine like terms: -23x + -4x = -27x 21 + -27x = 102 + 4x + -4x Combine like terms: 4x + -4x = 0 21 + -27x = 102 + 0 21 + -27x = 102 Add '-21' to each side of the equation. 21 + -21 + -27x = 102 + -21 Combine like terms: 21 + -21 = 0 0 + -27x = 102 + -21 -27x = 102 + -21 Combine like terms: 102 + -21 = 81 -27x = 81 Divide each side by '-27'. x = -3 Simplifying x = -3
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