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Simplifying -4x + 6(4x + 10) = 228 + -4x Reorder the terms: -4x + 6(10 + 4x) = 228 + -4x -4x + (10 * 6 + 4x * 6) = 228 + -4x -4x + (60 + 24x) = 228 + -4x Reorder the terms: 60 + -4x + 24x = 228 + -4x Combine like terms: -4x + 24x = 20x 60 + 20x = 228 + -4x Solving 60 + 20x = 228 + -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. 60 + 20x + 4x = 228 + -4x + 4x Combine like terms: 20x + 4x = 24x 60 + 24x = 228 + -4x + 4x Combine like terms: -4x + 4x = 0 60 + 24x = 228 + 0 60 + 24x = 228 Add '-60' to each side of the equation. 60 + -60 + 24x = 228 + -60 Combine like terms: 60 + -60 = 0 0 + 24x = 228 + -60 24x = 228 + -60 Combine like terms: 228 + -60 = 168 24x = 168 Divide each side by '24'. x = 7 Simplifying x = 7
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