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Simplifying 5 + -1(6x + 8) = -7(x + -9) Reorder the terms: 5 + -1(8 + 6x) = -7(x + -9) 5 + (8 * -1 + 6x * -1) = -7(x + -9) 5 + (-8 + -6x) = -7(x + -9) Combine like terms: 5 + -8 = -3 -3 + -6x = -7(x + -9) Reorder the terms: -3 + -6x = -7(-9 + x) -3 + -6x = (-9 * -7 + x * -7) -3 + -6x = (63 + -7x) Solving -3 + -6x = 63 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -3 + -6x + 7x = 63 + -7x + 7x Combine like terms: -6x + 7x = 1x -3 + 1x = 63 + -7x + 7x Combine like terms: -7x + 7x = 0 -3 + 1x = 63 + 0 -3 + 1x = 63 Add '3' to each side of the equation. -3 + 3 + 1x = 63 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = 63 + 3 1x = 63 + 3 Combine like terms: 63 + 3 = 66 1x = 66 Divide each side by '1'. x = 66 Simplifying x = 66
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