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Simplifying -6(x + 2) + -7(6x + -6) = -49(x + -1) + 8 Reorder the terms: -6(2 + x) + -7(6x + -6) = -49(x + -1) + 8 (2 * -6 + x * -6) + -7(6x + -6) = -49(x + -1) + 8 (-12 + -6x) + -7(6x + -6) = -49(x + -1) + 8 Reorder the terms: -12 + -6x + -7(-6 + 6x) = -49(x + -1) + 8 -12 + -6x + (-6 * -7 + 6x * -7) = -49(x + -1) + 8 -12 + -6x + (42 + -42x) = -49(x + -1) + 8 Reorder the terms: -12 + 42 + -6x + -42x = -49(x + -1) + 8 Combine like terms: -12 + 42 = 30 30 + -6x + -42x = -49(x + -1) + 8 Combine like terms: -6x + -42x = -48x 30 + -48x = -49(x + -1) + 8 Reorder the terms: 30 + -48x = -49(-1 + x) + 8 30 + -48x = (-1 * -49 + x * -49) + 8 30 + -48x = (49 + -49x) + 8 Reorder the terms: 30 + -48x = 49 + 8 + -49x Combine like terms: 49 + 8 = 57 30 + -48x = 57 + -49x Solving 30 + -48x = 57 + -49x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49x' to each side of the equation. 30 + -48x + 49x = 57 + -49x + 49x Combine like terms: -48x + 49x = 1x 30 + 1x = 57 + -49x + 49x Combine like terms: -49x + 49x = 0 30 + 1x = 57 + 0 30 + 1x = 57 Add '-30' to each side of the equation. 30 + -30 + 1x = 57 + -30 Combine like terms: 30 + -30 = 0 0 + 1x = 57 + -30 1x = 57 + -30 Combine like terms: 57 + -30 = 27 1x = 27 Divide each side by '1'. x = 27 Simplifying x = 27
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