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Simplifying 6(6x + -7) + 7x = -1(6x + -4) + 3 Reorder the terms: 6(-7 + 6x) + 7x = -1(6x + -4) + 3 (-7 * 6 + 6x * 6) + 7x = -1(6x + -4) + 3 (-42 + 36x) + 7x = -1(6x + -4) + 3 Combine like terms: 36x + 7x = 43x -42 + 43x = -1(6x + -4) + 3 Reorder the terms: -42 + 43x = -1(-4 + 6x) + 3 -42 + 43x = (-4 * -1 + 6x * -1) + 3 -42 + 43x = (4 + -6x) + 3 Reorder the terms: -42 + 43x = 4 + 3 + -6x Combine like terms: 4 + 3 = 7 -42 + 43x = 7 + -6x Solving -42 + 43x = 7 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -42 + 43x + 6x = 7 + -6x + 6x Combine like terms: 43x + 6x = 49x -42 + 49x = 7 + -6x + 6x Combine like terms: -6x + 6x = 0 -42 + 49x = 7 + 0 -42 + 49x = 7 Add '42' to each side of the equation. -42 + 42 + 49x = 7 + 42 Combine like terms: -42 + 42 = 0 0 + 49x = 7 + 42 49x = 7 + 42 Combine like terms: 7 + 42 = 49 49x = 49 Divide each side by '49'. x = 1 Simplifying x = 1
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