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Simplifying -6(-6 + 5x) + -6(x + -7) = x + 3 + 7 + -3x (-6 * -6 + 5x * -6) + -6(x + -7) = x + 3 + 7 + -3x (36 + -30x) + -6(x + -7) = x + 3 + 7 + -3x Reorder the terms: 36 + -30x + -6(-7 + x) = x + 3 + 7 + -3x 36 + -30x + (-7 * -6 + x * -6) = x + 3 + 7 + -3x 36 + -30x + (42 + -6x) = x + 3 + 7 + -3x Reorder the terms: 36 + 42 + -30x + -6x = x + 3 + 7 + -3x Combine like terms: 36 + 42 = 78 78 + -30x + -6x = x + 3 + 7 + -3x Combine like terms: -30x + -6x = -36x 78 + -36x = x + 3 + 7 + -3x Reorder the terms: 78 + -36x = 3 + 7 + x + -3x Combine like terms: 3 + 7 = 10 78 + -36x = 10 + x + -3x Combine like terms: x + -3x = -2x 78 + -36x = 10 + -2x Solving 78 + -36x = 10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 78 + -36x + 2x = 10 + -2x + 2x Combine like terms: -36x + 2x = -34x 78 + -34x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 78 + -34x = 10 + 0 78 + -34x = 10 Add '-78' to each side of the equation. 78 + -78 + -34x = 10 + -78 Combine like terms: 78 + -78 = 0 0 + -34x = 10 + -78 -34x = 10 + -78 Combine like terms: 10 + -78 = -68 -34x = -68 Divide each side by '-34'. x = 2 Simplifying x = 2
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