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Simplifying 5[3x + -6(x + -1)] = 7 Reorder the terms: 5[3x + -6(-1 + x)] = 7 5[3x + (-1 * -6 + x * -6)] = 7 5[3x + (6 + -6x)] = 7 Reorder the terms: 5[6 + 3x + -6x] = 7 Combine like terms: 3x + -6x = -3x 5[6 + -3x] = 7 [6 * 5 + -3x * 5] = 7 [30 + -15x] = 7 Solving 30 + -15x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -15x = 7 + -30 Combine like terms: 30 + -30 = 0 0 + -15x = 7 + -30 -15x = 7 + -30 Combine like terms: 7 + -30 = -23 -15x = -23 Divide each side by '-15'. x = 1.533333333 Simplifying x = 1.533333333
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