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Simplifying 48 = 32 + -2(x + -3) Reorder the terms: 48 = 32 + -2(-3 + x) 48 = 32 + (-3 * -2 + x * -2) 48 = 32 + (6 + -2x) Combine like terms: 32 + 6 = 38 48 = 38 + -2x Solving 48 = 38 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 48 + 2x = 38 + -2x + 2x Combine like terms: -2x + 2x = 0 48 + 2x = 38 + 0 48 + 2x = 38 Add '-48' to each side of the equation. 48 + -48 + 2x = 38 + -48 Combine like terms: 48 + -48 = 0 0 + 2x = 38 + -48 2x = 38 + -48 Combine like terms: 38 + -48 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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