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Simplifying 7(x + -2) = -8(x + 1) + 29 Reorder the terms: 7(-2 + x) = -8(x + 1) + 29 (-2 * 7 + x * 7) = -8(x + 1) + 29 (-14 + 7x) = -8(x + 1) + 29 Reorder the terms: -14 + 7x = -8(1 + x) + 29 -14 + 7x = (1 * -8 + x * -8) + 29 -14 + 7x = (-8 + -8x) + 29 Reorder the terms: -14 + 7x = -8 + 29 + -8x Combine like terms: -8 + 29 = 21 -14 + 7x = 21 + -8x Solving -14 + 7x = 21 + -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. -14 + 7x + 8x = 21 + -8x + 8x Combine like terms: 7x + 8x = 15x -14 + 15x = 21 + -8x + 8x Combine like terms: -8x + 8x = 0 -14 + 15x = 21 + 0 -14 + 15x = 21 Add '14' to each side of the equation. -14 + 14 + 15x = 21 + 14 Combine like terms: -14 + 14 = 0 0 + 15x = 21 + 14 15x = 21 + 14 Combine like terms: 21 + 14 = 35 15x = 35 Divide each side by '15'. x = 2.333333333 Simplifying x = 2.333333333
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