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Simplifying 6 + -1(6x + -26) = 7(x + -5) Reorder the terms: 6 + -1(-26 + 6x) = 7(x + -5) 6 + (-26 * -1 + 6x * -1) = 7(x + -5) 6 + (26 + -6x) = 7(x + -5) Combine like terms: 6 + 26 = 32 32 + -6x = 7(x + -5) Reorder the terms: 32 + -6x = 7(-5 + x) 32 + -6x = (-5 * 7 + x * 7) 32 + -6x = (-35 + 7x) Solving 32 + -6x = -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. 32 + -6x + -7x = -35 + 7x + -7x Combine like terms: -6x + -7x = -13x 32 + -13x = -35 + 7x + -7x Combine like terms: 7x + -7x = 0 32 + -13x = -35 + 0 32 + -13x = -35 Add '-32' to each side of the equation. 32 + -32 + -13x = -35 + -32 Combine like terms: 32 + -32 = 0 0 + -13x = -35 + -32 -13x = -35 + -32 Combine like terms: -35 + -32 = -67 -13x = -67 Divide each side by '-13'. x = 5.153846154 Simplifying x = 5.153846154
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