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Simplifying 7(x + -9) = -8(x + 1) + 5 Reorder the terms: 7(-9 + x) = -8(x + 1) + 5 (-9 * 7 + x * 7) = -8(x + 1) + 5 (-63 + 7x) = -8(x + 1) + 5 Reorder the terms: -63 + 7x = -8(1 + x) + 5 -63 + 7x = (1 * -8 + x * -8) + 5 -63 + 7x = (-8 + -8x) + 5 Reorder the terms: -63 + 7x = -8 + 5 + -8x Combine like terms: -8 + 5 = -3 -63 + 7x = -3 + -8x Solving -63 + 7x = -3 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -63 + 7x + 8x = -3 + -8x + 8x Combine like terms: 7x + 8x = 15x -63 + 15x = -3 + -8x + 8x Combine like terms: -8x + 8x = 0 -63 + 15x = -3 + 0 -63 + 15x = -3 Add '63' to each side of the equation. -63 + 63 + 15x = -3 + 63 Combine like terms: -63 + 63 = 0 0 + 15x = -3 + 63 15x = -3 + 63 Combine like terms: -3 + 63 = 60 15x = 60 Divide each side by '15'. x = 4 Simplifying x = 4
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