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Simplifying 6[4 + -1(-5x + -8)] = 180x + 312 Reorder the terms: 6[4 + -1(-8 + -5x)] = 180x + 312 6[4 + (-8 * -1 + -5x * -1)] = 180x + 312 6[4 + (8 + 5x)] = 180x + 312 Combine like terms: 4 + 8 = 12 6[12 + 5x] = 180x + 312 [12 * 6 + 5x * 6] = 180x + 312 [72 + 30x] = 180x + 312 Reorder the terms: 72 + 30x = 312 + 180x Solving 72 + 30x = 312 + 180x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-180x' to each side of the equation. 72 + 30x + -180x = 312 + 180x + -180x Combine like terms: 30x + -180x = -150x 72 + -150x = 312 + 180x + -180x Combine like terms: 180x + -180x = 0 72 + -150x = 312 + 0 72 + -150x = 312 Add '-72' to each side of the equation. 72 + -72 + -150x = 312 + -72 Combine like terms: 72 + -72 = 0 0 + -150x = 312 + -72 -150x = 312 + -72 Combine like terms: 312 + -72 = 240 -150x = 240 Divide each side by '-150'. x = -1.6 Simplifying x = -1.6
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