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Simplifying x + -6 + -26 = 7(x + -26) Reorder the terms: -6 + -26 + x = 7(x + -26) Combine like terms: -6 + -26 = -32 -32 + x = 7(x + -26) Reorder the terms: -32 + x = 7(-26 + x) -32 + x = (-26 * 7 + x * 7) -32 + x = (-182 + 7x) Solving -32 + x = -182 + 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. -32 + x + -7x = -182 + 7x + -7x Combine like terms: x + -7x = -6x -32 + -6x = -182 + 7x + -7x Combine like terms: 7x + -7x = 0 -32 + -6x = -182 + 0 -32 + -6x = -182 Add '32' to each side of the equation. -32 + 32 + -6x = -182 + 32 Combine like terms: -32 + 32 = 0 0 + -6x = -182 + 32 -6x = -182 + 32 Combine like terms: -182 + 32 = -150 -6x = -150 Divide each side by '-6'. x = 25 Simplifying x = 25
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