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Simplifying 6[1 + -1(-4x + -2)] = 72x + 42 Reorder the terms: 6[1 + -1(-2 + -4x)] = 72x + 42 6[1 + (-2 * -1 + -4x * -1)] = 72x + 42 6[1 + (2 + 4x)] = 72x + 42 Combine like terms: 1 + 2 = 3 6[3 + 4x] = 72x + 42 [3 * 6 + 4x * 6] = 72x + 42 [18 + 24x] = 72x + 42 Reorder the terms: 18 + 24x = 42 + 72x Solving 18 + 24x = 42 + 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. 18 + 24x + -72x = 42 + 72x + -72x Combine like terms: 24x + -72x = -48x 18 + -48x = 42 + 72x + -72x Combine like terms: 72x + -72x = 0 18 + -48x = 42 + 0 18 + -48x = 42 Add '-18' to each side of the equation. 18 + -18 + -48x = 42 + -18 Combine like terms: 18 + -18 = 0 0 + -48x = 42 + -18 -48x = 42 + -18 Combine like terms: 42 + -18 = 24 -48x = 24 Divide each side by '-48'. x = -0.5 Simplifying x = -0.5
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