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Simplifying -47 + -12x = 1 + -8(x + 10) Reorder the terms: -47 + -12x = 1 + -8(10 + x) -47 + -12x = 1 + (10 * -8 + x * -8) -47 + -12x = 1 + (-80 + -8x) Combine like terms: 1 + -80 = -79 -47 + -12x = -79 + -8x Solving -47 + -12x = -79 + -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. -47 + -12x + 8x = -79 + -8x + 8x Combine like terms: -12x + 8x = -4x -47 + -4x = -79 + -8x + 8x Combine like terms: -8x + 8x = 0 -47 + -4x = -79 + 0 -47 + -4x = -79 Add '47' to each side of the equation. -47 + 47 + -4x = -79 + 47 Combine like terms: -47 + 47 = 0 0 + -4x = -79 + 47 -4x = -79 + 47 Combine like terms: -79 + 47 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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