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Simplifying 8(x + -6) = -7x + 27 Reorder the terms: 8(-6 + x) = -7x + 27 (-6 * 8 + x * 8) = -7x + 27 (-48 + 8x) = -7x + 27 Reorder the terms: -48 + 8x = 27 + -7x Solving -48 + 8x = 27 + -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. -48 + 8x + 7x = 27 + -7x + 7x Combine like terms: 8x + 7x = 15x -48 + 15x = 27 + -7x + 7x Combine like terms: -7x + 7x = 0 -48 + 15x = 27 + 0 -48 + 15x = 27 Add '48' to each side of the equation. -48 + 48 + 15x = 27 + 48 Combine like terms: -48 + 48 = 0 0 + 15x = 27 + 48 15x = 27 + 48 Combine like terms: 27 + 48 = 75 15x = 75 Divide each side by '15'. x = 5 Simplifying x = 5
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