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Simplifying 3[1 + -1(-5x + -3)] = 45x + 30 Reorder the terms: 3[1 + -1(-3 + -5x)] = 45x + 30 3[1 + (-3 * -1 + -5x * -1)] = 45x + 30 3[1 + (3 + 5x)] = 45x + 30 Combine like terms: 1 + 3 = 4 3[4 + 5x] = 45x + 30 [4 * 3 + 5x * 3] = 45x + 30 [12 + 15x] = 45x + 30 Reorder the terms: 12 + 15x = 30 + 45x Solving 12 + 15x = 30 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 12 + 15x + -45x = 30 + 45x + -45x Combine like terms: 15x + -45x = -30x 12 + -30x = 30 + 45x + -45x Combine like terms: 45x + -45x = 0 12 + -30x = 30 + 0 12 + -30x = 30 Add '-12' to each side of the equation. 12 + -12 + -30x = 30 + -12 Combine like terms: 12 + -12 = 0 0 + -30x = 30 + -12 -30x = 30 + -12 Combine like terms: 30 + -12 = 18 -30x = 18 Divide each side by '-30'. x = -0.6 Simplifying x = -0.6
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