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Simplifying x + -5 = 7(x + -5) Reorder the terms: -5 + x = 7(x + -5) Reorder the terms: -5 + x = 7(-5 + x) -5 + x = (-5 * 7 + x * 7) -5 + x = (-35 + 7x) Solving -5 + x = -35 + 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. -5 + x + -7x = -35 + 7x + -7x Combine like terms: x + -7x = -6x -5 + -6x = -35 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + -6x = -35 + 0 -5 + -6x = -35 Add '5' to each side of the equation. -5 + 5 + -6x = -35 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = -35 + 5 -6x = -35 + 5 Combine like terms: -35 + 5 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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