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Simplifying 6[3 + -1(-4x + -7)] = 72x + 144 Reorder the terms: 6[3 + -1(-7 + -4x)] = 72x + 144 6[3 + (-7 * -1 + -4x * -1)] = 72x + 144 6[3 + (7 + 4x)] = 72x + 144 Combine like terms: 3 + 7 = 10 6[10 + 4x] = 72x + 144 [10 * 6 + 4x * 6] = 72x + 144 [60 + 24x] = 72x + 144 Reorder the terms: 60 + 24x = 144 + 72x Solving 60 + 24x = 144 + 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. 60 + 24x + -72x = 144 + 72x + -72x Combine like terms: 24x + -72x = -48x 60 + -48x = 144 + 72x + -72x Combine like terms: 72x + -72x = 0 60 + -48x = 144 + 0 60 + -48x = 144 Add '-60' to each side of the equation. 60 + -60 + -48x = 144 + -60 Combine like terms: 60 + -60 = 0 0 + -48x = 144 + -60 -48x = 144 + -60 Combine like terms: 144 + -60 = 84 -48x = 84 Divide each side by '-48'. x = -1.75 Simplifying x = -1.75
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