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Simplifying -4x + -7 = 2x + 17 Reorder the terms: -7 + -4x = 2x + 17 Reorder the terms: -7 + -4x = 17 + 2x Solving -7 + -4x = 17 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + -4x + -2x = 17 + 2x + -2x Combine like terms: -4x + -2x = -6x -7 + -6x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + -6x = 17 + 0 -7 + -6x = 17 Add '7' to each side of the equation. -7 + 7 + -6x = 17 + 7 Combine like terms: -7 + 7 = 0 0 + -6x = 17 + 7 -6x = 17 + 7 Combine like terms: 17 + 7 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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