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Simplifying 1 + -8(3x + 6) = -13 + -7x Reorder the terms: 1 + -8(6 + 3x) = -13 + -7x 1 + (6 * -8 + 3x * -8) = -13 + -7x 1 + (-48 + -24x) = -13 + -7x Combine like terms: 1 + -48 = -47 -47 + -24x = -13 + -7x Solving -47 + -24x = -13 + -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. -47 + -24x + 7x = -13 + -7x + 7x Combine like terms: -24x + 7x = -17x -47 + -17x = -13 + -7x + 7x Combine like terms: -7x + 7x = 0 -47 + -17x = -13 + 0 -47 + -17x = -13 Add '47' to each side of the equation. -47 + 47 + -17x = -13 + 47 Combine like terms: -47 + 47 = 0 0 + -17x = -13 + 47 -17x = -13 + 47 Combine like terms: -13 + 47 = 34 -17x = 34 Divide each side by '-17'. x = -2 Simplifying x = -2
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