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Simplifying 15x + 2 = -1(x + 46) Reorder the terms: 2 + 15x = -1(x + 46) Reorder the terms: 2 + 15x = -1(46 + x) 2 + 15x = (46 * -1 + x * -1) 2 + 15x = (-46 + -1x) Solving 2 + 15x = -46 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 2 + 15x + x = -46 + -1x + x Combine like terms: 15x + x = 16x 2 + 16x = -46 + -1x + x Combine like terms: -1x + x = 0 2 + 16x = -46 + 0 2 + 16x = -46 Add '-2' to each side of the equation. 2 + -2 + 16x = -46 + -2 Combine like terms: 2 + -2 = 0 0 + 16x = -46 + -2 16x = -46 + -2 Combine like terms: -46 + -2 = -48 16x = -48 Divide each side by '16'. x = -3 Simplifying x = -3
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