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Simplifying 3[6 + -1(5x + -4)] = 120x + 114 Reorder the terms: 3[6 + -1(-4 + 5x)] = 120x + 114 3[6 + (-4 * -1 + 5x * -1)] = 120x + 114 3[6 + (4 + -5x)] = 120x + 114 Combine like terms: 6 + 4 = 10 3[10 + -5x] = 120x + 114 [10 * 3 + -5x * 3] = 120x + 114 [30 + -15x] = 120x + 114 Reorder the terms: 30 + -15x = 114 + 120x Solving 30 + -15x = 114 + 120x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-120x' to each side of the equation. 30 + -15x + -120x = 114 + 120x + -120x Combine like terms: -15x + -120x = -135x 30 + -135x = 114 + 120x + -120x Combine like terms: 120x + -120x = 0 30 + -135x = 114 + 0 30 + -135x = 114 Add '-30' to each side of the equation. 30 + -30 + -135x = 114 + -30 Combine like terms: 30 + -30 = 0 0 + -135x = 114 + -30 -135x = 114 + -30 Combine like terms: 114 + -30 = 84 -135x = 84 Divide each side by '-135'. x = -0.6222222222 Simplifying x = -0.6222222222
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