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Simplifying 5x + -3x + 12 = 120 + -6x + 16 Reorder the terms: 12 + 5x + -3x = 120 + -6x + 16 Combine like terms: 5x + -3x = 2x 12 + 2x = 120 + -6x + 16 Reorder the terms: 12 + 2x = 120 + 16 + -6x Combine like terms: 120 + 16 = 136 12 + 2x = 136 + -6x Solving 12 + 2x = 136 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 12 + 2x + 6x = 136 + -6x + 6x Combine like terms: 2x + 6x = 8x 12 + 8x = 136 + -6x + 6x Combine like terms: -6x + 6x = 0 12 + 8x = 136 + 0 12 + 8x = 136 Add '-12' to each side of the equation. 12 + -12 + 8x = 136 + -12 Combine like terms: 12 + -12 = 0 0 + 8x = 136 + -12 8x = 136 + -12 Combine like terms: 136 + -12 = 124 8x = 124 Divide each side by '8'. x = 15.5 Simplifying x = 15.5
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