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Simplifying 48 = 34 + -2(x + -4) Reorder the terms: 48 = 34 + -2(-4 + x) 48 = 34 + (-4 * -2 + x * -2) 48 = 34 + (8 + -2x) Combine like terms: 34 + 8 = 42 48 = 42 + -2x Solving 48 = 42 + -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 = 42 + -2x + 2x Combine like terms: -2x + 2x = 0 48 + 2x = 42 + 0 48 + 2x = 42 Add '-48' to each side of the equation. 48 + -48 + 2x = 42 + -48 Combine like terms: 48 + -48 = 0 0 + 2x = 42 + -48 2x = 42 + -48 Combine like terms: 42 + -48 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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