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Simplifying 8(x + -1) = -7(x + 2) + 30 Reorder the terms: 8(-1 + x) = -7(x + 2) + 30 (-1 * 8 + x * 8) = -7(x + 2) + 30 (-8 + 8x) = -7(x + 2) + 30 Reorder the terms: -8 + 8x = -7(2 + x) + 30 -8 + 8x = (2 * -7 + x * -7) + 30 -8 + 8x = (-14 + -7x) + 30 Reorder the terms: -8 + 8x = -14 + 30 + -7x Combine like terms: -14 + 30 = 16 -8 + 8x = 16 + -7x Solving -8 + 8x = 16 + -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. -8 + 8x + 7x = 16 + -7x + 7x Combine like terms: 8x + 7x = 15x -8 + 15x = 16 + -7x + 7x Combine like terms: -7x + 7x = 0 -8 + 15x = 16 + 0 -8 + 15x = 16 Add '8' to each side of the equation. -8 + 8 + 15x = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 15x = 16 + 8 15x = 16 + 8 Combine like terms: 16 + 8 = 24 15x = 24 Divide each side by '15'. x = 1.6 Simplifying x = 1.6
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