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Simplifying 12 + -5x = 2x + 6(x + -10) Reorder the terms: 12 + -5x = 2x + 6(-10 + x) 12 + -5x = 2x + (-10 * 6 + x * 6) 12 + -5x = 2x + (-60 + 6x) Reorder the terms: 12 + -5x = -60 + 2x + 6x Combine like terms: 2x + 6x = 8x 12 + -5x = -60 + 8x Solving 12 + -5x = -60 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 12 + -5x + -8x = -60 + 8x + -8x Combine like terms: -5x + -8x = -13x 12 + -13x = -60 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -13x = -60 + 0 12 + -13x = -60 Add '-12' to each side of the equation. 12 + -12 + -13x = -60 + -12 Combine like terms: 12 + -12 = 0 0 + -13x = -60 + -12 -13x = -60 + -12 Combine like terms: -60 + -12 = -72 -13x = -72 Divide each side by '-13'. x = 5.538461538 Simplifying x = 5.538461538
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