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Simplifying 6x + 258 = 15x + -12 Reorder the terms: 258 + 6x = 15x + -12 Reorder the terms: 258 + 6x = -12 + 15x Solving 258 + 6x = -12 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 258 + 6x + -15x = -12 + 15x + -15x Combine like terms: 6x + -15x = -9x 258 + -9x = -12 + 15x + -15x Combine like terms: 15x + -15x = 0 258 + -9x = -12 + 0 258 + -9x = -12 Add '-258' to each side of the equation. 258 + -258 + -9x = -12 + -258 Combine like terms: 258 + -258 = 0 0 + -9x = -12 + -258 -9x = -12 + -258 Combine like terms: -12 + -258 = -270 -9x = -270 Divide each side by '-9'. x = 30 Simplifying x = 30
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