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Simplifying -10 + x + 4 + -5 = 7x + -45 Reorder the terms: -10 + 4 + -5 + x = 7x + -45 Combine like terms: -10 + 4 = -6 -6 + -5 + x = 7x + -45 Combine like terms: -6 + -5 = -11 -11 + x = 7x + -45 Reorder the terms: -11 + x = -45 + 7x Solving -11 + x = -45 + 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. -11 + x + -7x = -45 + 7x + -7x Combine like terms: x + -7x = -6x -11 + -6x = -45 + 7x + -7x Combine like terms: 7x + -7x = 0 -11 + -6x = -45 + 0 -11 + -6x = -45 Add '11' to each side of the equation. -11 + 11 + -6x = -45 + 11 Combine like terms: -11 + 11 = 0 0 + -6x = -45 + 11 -6x = -45 + 11 Combine like terms: -45 + 11 = -34 -6x = -34 Divide each side by '-6'. x = 5.666666667 Simplifying x = 5.666666667
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