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Simplifying -17 + -4(x + 7) = -14x + 7(x + -6) Reorder the terms: -17 + -4(7 + x) = -14x + 7(x + -6) -17 + (7 * -4 + x * -4) = -14x + 7(x + -6) -17 + (-28 + -4x) = -14x + 7(x + -6) Combine like terms: -17 + -28 = -45 -45 + -4x = -14x + 7(x + -6) Reorder the terms: -45 + -4x = -14x + 7(-6 + x) -45 + -4x = -14x + (-6 * 7 + x * 7) -45 + -4x = -14x + (-42 + 7x) Reorder the terms: -45 + -4x = -42 + -14x + 7x Combine like terms: -14x + 7x = -7x -45 + -4x = -42 + -7x Solving -45 + -4x = -42 + -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. -45 + -4x + 7x = -42 + -7x + 7x Combine like terms: -4x + 7x = 3x -45 + 3x = -42 + -7x + 7x Combine like terms: -7x + 7x = 0 -45 + 3x = -42 + 0 -45 + 3x = -42 Add '45' to each side of the equation. -45 + 45 + 3x = -42 + 45 Combine like terms: -45 + 45 = 0 0 + 3x = -42 + 45 3x = -42 + 45 Combine like terms: -42 + 45 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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