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Simplifying 12x + -47 = 1 + -8(4x + 6) Reorder the terms: -47 + 12x = 1 + -8(4x + 6) Reorder the terms: -47 + 12x = 1 + -8(6 + 4x) -47 + 12x = 1 + (6 * -8 + 4x * -8) -47 + 12x = 1 + (-48 + -32x) Combine like terms: 1 + -48 = -47 -47 + 12x = -47 + -32x Add '47' to each side of the equation. -47 + 47 + 12x = -47 + 47 + -32x Combine like terms: -47 + 47 = 0 0 + 12x = -47 + 47 + -32x 12x = -47 + 47 + -32x Combine like terms: -47 + 47 = 0 12x = 0 + -32x 12x = -32x Solving 12x = -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. 12x + 32x = -32x + 32x Combine like terms: 12x + 32x = 44x 44x = -32x + 32x Combine like terms: -32x + 32x = 0 44x = 0 Divide each side by '44'. x = 0 Simplifying x = 0
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