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Simplifying 6[3 + -1(-4x + -2)] = 72x + 54 Reorder the terms: 6[3 + -1(-2 + -4x)] = 72x + 54 6[3 + (-2 * -1 + -4x * -1)] = 72x + 54 6[3 + (2 + 4x)] = 72x + 54 Combine like terms: 3 + 2 = 5 6[5 + 4x] = 72x + 54 [5 * 6 + 4x * 6] = 72x + 54 [30 + 24x] = 72x + 54 Reorder the terms: 30 + 24x = 54 + 72x Solving 30 + 24x = 54 + 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. 30 + 24x + -72x = 54 + 72x + -72x Combine like terms: 24x + -72x = -48x 30 + -48x = 54 + 72x + -72x Combine like terms: 72x + -72x = 0 30 + -48x = 54 + 0 30 + -48x = 54 Add '-30' to each side of the equation. 30 + -30 + -48x = 54 + -30 Combine like terms: 30 + -30 = 0 0 + -48x = 54 + -30 -48x = 54 + -30 Combine like terms: 54 + -30 = 24 -48x = 24 Divide each side by '-48'. x = -0.5 Simplifying x = -0.5
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