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Simplifying 2x + 16 + 2x + -4 = 48 + -2x + 30 Reorder the terms: 16 + -4 + 2x + 2x = 48 + -2x + 30 Combine like terms: 16 + -4 = 12 12 + 2x + 2x = 48 + -2x + 30 Combine like terms: 2x + 2x = 4x 12 + 4x = 48 + -2x + 30 Reorder the terms: 12 + 4x = 48 + 30 + -2x Combine like terms: 48 + 30 = 78 12 + 4x = 78 + -2x Solving 12 + 4x = 78 + -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. 12 + 4x + 2x = 78 + -2x + 2x Combine like terms: 4x + 2x = 6x 12 + 6x = 78 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 6x = 78 + 0 12 + 6x = 78 Add '-12' to each side of the equation. 12 + -12 + 6x = 78 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 78 + -12 6x = 78 + -12 Combine like terms: 78 + -12 = 66 6x = 66 Divide each side by '6'. x = 11 Simplifying x = 11
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