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Simplifying 4x + -6[2x + -3(5x + -8)] = 102 Reorder the terms: 4x + -6[2x + -3(-8 + 5x)] = 102 4x + -6[2x + (-8 * -3 + 5x * -3)] = 102 4x + -6[2x + (24 + -15x)] = 102 Reorder the terms: 4x + -6[24 + 2x + -15x] = 102 Combine like terms: 2x + -15x = -13x 4x + -6[24 + -13x] = 102 4x + [24 * -6 + -13x * -6] = 102 4x + [-144 + 78x] = 102 Reorder the terms: -144 + 4x + 78x = 102 Combine like terms: 4x + 78x = 82x -144 + 82x = 102 Solving -144 + 82x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '144' to each side of the equation. -144 + 144 + 82x = 102 + 144 Combine like terms: -144 + 144 = 0 0 + 82x = 102 + 144 82x = 102 + 144 Combine like terms: 102 + 144 = 246 82x = 246 Divide each side by '82'. x = 3 Simplifying x = 3
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