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Simplifying 4 + -1(x + 8) = 12x + -17 Reorder the terms: 4 + -1(8 + x) = 12x + -17 4 + (8 * -1 + x * -1) = 12x + -17 4 + (-8 + -1x) = 12x + -17 Combine like terms: 4 + -8 = -4 -4 + -1x = 12x + -17 Reorder the terms: -4 + -1x = -17 + 12x Solving -4 + -1x = -17 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -4 + -1x + -12x = -17 + 12x + -12x Combine like terms: -1x + -12x = -13x -4 + -13x = -17 + 12x + -12x Combine like terms: 12x + -12x = 0 -4 + -13x = -17 + 0 -4 + -13x = -17 Add '4' to each side of the equation. -4 + 4 + -13x = -17 + 4 Combine like terms: -4 + 4 = 0 0 + -13x = -17 + 4 -13x = -17 + 4 Combine like terms: -17 + 4 = -13 -13x = -13 Divide each side by '-13'. x = 1 Simplifying x = 1
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