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Simplifying 15 + 4(x + -5) = 27 + -4x Reorder the terms: 15 + 4(-5 + x) = 27 + -4x 15 + (-5 * 4 + x * 4) = 27 + -4x 15 + (-20 + 4x) = 27 + -4x Combine like terms: 15 + -20 = -5 -5 + 4x = 27 + -4x Solving -5 + 4x = 27 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -5 + 4x + 4x = 27 + -4x + 4x Combine like terms: 4x + 4x = 8x -5 + 8x = 27 + -4x + 4x Combine like terms: -4x + 4x = 0 -5 + 8x = 27 + 0 -5 + 8x = 27 Add '5' to each side of the equation. -5 + 5 + 8x = 27 + 5 Combine like terms: -5 + 5 = 0 0 + 8x = 27 + 5 8x = 27 + 5 Combine like terms: 27 + 5 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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