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Simplifying -4 + -7 = 5x + 7 + -4x Combine like terms: -4 + -7 = -11 -11 = 5x + 7 + -4x Reorder the terms: -11 = 7 + 5x + -4x Combine like terms: 5x + -4x = 1x -11 = 7 + 1x Solving -11 = 7 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -11 + -1x = 7 + 1x + -1x Combine like terms: 1x + -1x = 0 -11 + -1x = 7 + 0 -11 + -1x = 7 Add '11' to each side of the equation. -11 + 11 + -1x = 7 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 7 + 11 -1x = 7 + 11 Combine like terms: 7 + 11 = 18 -1x = 18 Divide each side by '-1'. x = -18 Simplifying x = -18
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