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Simplifying 7(x + -1) = -8(x + 2) + 49 Reorder the terms: 7(-1 + x) = -8(x + 2) + 49 (-1 * 7 + x * 7) = -8(x + 2) + 49 (-7 + 7x) = -8(x + 2) + 49 Reorder the terms: -7 + 7x = -8(2 + x) + 49 -7 + 7x = (2 * -8 + x * -8) + 49 -7 + 7x = (-16 + -8x) + 49 Reorder the terms: -7 + 7x = -16 + 49 + -8x Combine like terms: -16 + 49 = 33 -7 + 7x = 33 + -8x Solving -7 + 7x = 33 + -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. -7 + 7x + 8x = 33 + -8x + 8x Combine like terms: 7x + 8x = 15x -7 + 15x = 33 + -8x + 8x Combine like terms: -8x + 8x = 0 -7 + 15x = 33 + 0 -7 + 15x = 33 Add '7' to each side of the equation. -7 + 7 + 15x = 33 + 7 Combine like terms: -7 + 7 = 0 0 + 15x = 33 + 7 15x = 33 + 7 Combine like terms: 33 + 7 = 40 15x = 40 Divide each side by '15'. x = 2.666666667 Simplifying x = 2.666666667
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