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Simplifying -1(7x + -18) + -6x = -26 + 13 + -1(-19x + -18) Reorder the terms: -1(-18 + 7x) + -6x = -26 + 13 + -1(-19x + -18) (-18 * -1 + 7x * -1) + -6x = -26 + 13 + -1(-19x + -18) (18 + -7x) + -6x = -26 + 13 + -1(-19x + -18) Combine like terms: -7x + -6x = -13x 18 + -13x = -26 + 13 + -1(-19x + -18) Reorder the terms: 18 + -13x = -26 + 13 + -1(-18 + -19x) 18 + -13x = -26 + 13 + (-18 * -1 + -19x * -1) 18 + -13x = -26 + 13 + (18 + 19x) Combine like terms: -26 + 13 = -13 18 + -13x = -13 + 18 + 19x Combine like terms: -13 + 18 = 5 18 + -13x = 5 + 19x Solving 18 + -13x = 5 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 18 + -13x + -19x = 5 + 19x + -19x Combine like terms: -13x + -19x = -32x 18 + -32x = 5 + 19x + -19x Combine like terms: 19x + -19x = 0 18 + -32x = 5 + 0 18 + -32x = 5 Add '-18' to each side of the equation. 18 + -18 + -32x = 5 + -18 Combine like terms: 18 + -18 = 0 0 + -32x = 5 + -18 -32x = 5 + -18 Combine like terms: 5 + -18 = -13 -32x = -13 Divide each side by '-32'. x = 0.40625 Simplifying x = 0.40625
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