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Simplifying 2(x + 3) + -5(3x + -1) = 6x + -8 Reorder the terms: 2(3 + x) + -5(3x + -1) = 6x + -8 (3 * 2 + x * 2) + -5(3x + -1) = 6x + -8 (6 + 2x) + -5(3x + -1) = 6x + -8 Reorder the terms: 6 + 2x + -5(-1 + 3x) = 6x + -8 6 + 2x + (-1 * -5 + 3x * -5) = 6x + -8 6 + 2x + (5 + -15x) = 6x + -8 Reorder the terms: 6 + 5 + 2x + -15x = 6x + -8 Combine like terms: 6 + 5 = 11 11 + 2x + -15x = 6x + -8 Combine like terms: 2x + -15x = -13x 11 + -13x = 6x + -8 Reorder the terms: 11 + -13x = -8 + 6x Solving 11 + -13x = -8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 11 + -13x + -6x = -8 + 6x + -6x Combine like terms: -13x + -6x = -19x 11 + -19x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 11 + -19x = -8 + 0 11 + -19x = -8 Add '-11' to each side of the equation. 11 + -11 + -19x = -8 + -11 Combine like terms: 11 + -11 = 0 0 + -19x = -8 + -11 -19x = -8 + -11 Combine like terms: -8 + -11 = -19 -19x = -19 Divide each side by '-19'. x = 1 Simplifying x = 1
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