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Simplifying 5x + -12x + 165 = 12x + 65 Reorder the terms: 165 + 5x + -12x = 12x + 65 Combine like terms: 5x + -12x = -7x 165 + -7x = 12x + 65 Reorder the terms: 165 + -7x = 65 + 12x Solving 165 + -7x = 65 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 165 + -7x + -12x = 65 + 12x + -12x Combine like terms: -7x + -12x = -19x 165 + -19x = 65 + 12x + -12x Combine like terms: 12x + -12x = 0 165 + -19x = 65 + 0 165 + -19x = 65 Add '-165' to each side of the equation. 165 + -165 + -19x = 65 + -165 Combine like terms: 165 + -165 = 0 0 + -19x = 65 + -165 -19x = 65 + -165 Combine like terms: 65 + -165 = -100 -19x = -100 Divide each side by '-19'. x = 5.263157895 Simplifying x = 5.263157895
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