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Simplifying 6[3 + -1(-4x + -6)] = 168x + 270 Reorder the terms: 6[3 + -1(-6 + -4x)] = 168x + 270 6[3 + (-6 * -1 + -4x * -1)] = 168x + 270 6[3 + (6 + 4x)] = 168x + 270 Combine like terms: 3 + 6 = 9 6[9 + 4x] = 168x + 270 [9 * 6 + 4x * 6] = 168x + 270 [54 + 24x] = 168x + 270 Reorder the terms: 54 + 24x = 270 + 168x Solving 54 + 24x = 270 + 168x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-168x' to each side of the equation. 54 + 24x + -168x = 270 + 168x + -168x Combine like terms: 24x + -168x = -144x 54 + -144x = 270 + 168x + -168x Combine like terms: 168x + -168x = 0 54 + -144x = 270 + 0 54 + -144x = 270 Add '-54' to each side of the equation. 54 + -54 + -144x = 270 + -54 Combine like terms: 54 + -54 = 0 0 + -144x = 270 + -54 -144x = 270 + -54 Combine like terms: 270 + -54 = 216 -144x = 216 Divide each side by '-144'. x = -1.5 Simplifying x = -1.5
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