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Simplifying 7(7x + -3) = 6(8x + 1) + -14 Reorder the terms: 7(-3 + 7x) = 6(8x + 1) + -14 (-3 * 7 + 7x * 7) = 6(8x + 1) + -14 (-21 + 49x) = 6(8x + 1) + -14 Reorder the terms: -21 + 49x = 6(1 + 8x) + -14 -21 + 49x = (1 * 6 + 8x * 6) + -14 -21 + 49x = (6 + 48x) + -14 Reorder the terms: -21 + 49x = 6 + -14 + 48x Combine like terms: 6 + -14 = -8 -21 + 49x = -8 + 48x Solving -21 + 49x = -8 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. -21 + 49x + -48x = -8 + 48x + -48x Combine like terms: 49x + -48x = 1x -21 + 1x = -8 + 48x + -48x Combine like terms: 48x + -48x = 0 -21 + 1x = -8 + 0 -21 + 1x = -8 Add '21' to each side of the equation. -21 + 21 + 1x = -8 + 21 Combine like terms: -21 + 21 = 0 0 + 1x = -8 + 21 1x = -8 + 21 Combine like terms: -8 + 21 = 13 1x = 13 Divide each side by '1'. x = 13 Simplifying x = 13
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