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Simplifying -8(6x + -2) + 7(7x + -6) + -3 = 3 + -7 Reorder the terms: -8(-2 + 6x) + 7(7x + -6) + -3 = 3 + -7 (-2 * -8 + 6x * -8) + 7(7x + -6) + -3 = 3 + -7 (16 + -48x) + 7(7x + -6) + -3 = 3 + -7 Reorder the terms: 16 + -48x + 7(-6 + 7x) + -3 = 3 + -7 16 + -48x + (-6 * 7 + 7x * 7) + -3 = 3 + -7 16 + -48x + (-42 + 49x) + -3 = 3 + -7 Reorder the terms: 16 + -42 + -3 + -48x + 49x = 3 + -7 Combine like terms: 16 + -42 = -26 -26 + -3 + -48x + 49x = 3 + -7 Combine like terms: -26 + -3 = -29 -29 + -48x + 49x = 3 + -7 Combine like terms: -48x + 49x = 1x -29 + 1x = 3 + -7 Combine like terms: 3 + -7 = -4 -29 + 1x = -4 Solving -29 + 1x = -4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 1x = -4 + 29 Combine like terms: -29 + 29 = 0 0 + 1x = -4 + 29 1x = -4 + 29 Combine like terms: -4 + 29 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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