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Simplifying 2x + -48 = 2(15 + -2x) Reorder the terms: -48 + 2x = 2(15 + -2x) -48 + 2x = (15 * 2 + -2x * 2) -48 + 2x = (30 + -4x) Solving -48 + 2x = 30 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -48 + 2x + 4x = 30 + -4x + 4x Combine like terms: 2x + 4x = 6x -48 + 6x = 30 + -4x + 4x Combine like terms: -4x + 4x = 0 -48 + 6x = 30 + 0 -48 + 6x = 30 Add '48' to each side of the equation. -48 + 48 + 6x = 30 + 48 Combine like terms: -48 + 48 = 0 0 + 6x = 30 + 48 6x = 30 + 48 Combine like terms: 30 + 48 = 78 6x = 78 Divide each side by '6'. x = 13 Simplifying x = 13
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