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Simplifying x + -12 = 3(6x + 5) + -4(-2x + -7) Reorder the terms: -12 + x = 3(6x + 5) + -4(-2x + -7) Reorder the terms: -12 + x = 3(5 + 6x) + -4(-2x + -7) -12 + x = (5 * 3 + 6x * 3) + -4(-2x + -7) -12 + x = (15 + 18x) + -4(-2x + -7) Reorder the terms: -12 + x = 15 + 18x + -4(-7 + -2x) -12 + x = 15 + 18x + (-7 * -4 + -2x * -4) -12 + x = 15 + 18x + (28 + 8x) Reorder the terms: -12 + x = 15 + 28 + 18x + 8x Combine like terms: 15 + 28 = 43 -12 + x = 43 + 18x + 8x Combine like terms: 18x + 8x = 26x -12 + x = 43 + 26x Solving -12 + x = 43 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. -12 + x + -26x = 43 + 26x + -26x Combine like terms: x + -26x = -25x -12 + -25x = 43 + 26x + -26x Combine like terms: 26x + -26x = 0 -12 + -25x = 43 + 0 -12 + -25x = 43 Add '12' to each side of the equation. -12 + 12 + -25x = 43 + 12 Combine like terms: -12 + 12 = 0 0 + -25x = 43 + 12 -25x = 43 + 12 Combine like terms: 43 + 12 = 55 -25x = 55 Divide each side by '-25'. x = -2.2 Simplifying x = -2.2
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