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Simplifying 2[4 + -5(3x + -5)] = 60 + -15x Reorder the terms: 2[4 + -5(-5 + 3x)] = 60 + -15x 2[4 + (-5 * -5 + 3x * -5)] = 60 + -15x 2[4 + (25 + -15x)] = 60 + -15x Combine like terms: 4 + 25 = 29 2[29 + -15x] = 60 + -15x [29 * 2 + -15x * 2] = 60 + -15x [58 + -30x] = 60 + -15x Solving 58 + -30x = 60 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 58 + -30x + 15x = 60 + -15x + 15x Combine like terms: -30x + 15x = -15x 58 + -15x = 60 + -15x + 15x Combine like terms: -15x + 15x = 0 58 + -15x = 60 + 0 58 + -15x = 60 Add '-58' to each side of the equation. 58 + -58 + -15x = 60 + -58 Combine like terms: 58 + -58 = 0 0 + -15x = 60 + -58 -15x = 60 + -58 Combine like terms: 60 + -58 = 2 -15x = 2 Divide each side by '-15'. x = -0.1333333333 Simplifying x = -0.1333333333
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