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Simplifying 6(3 + -1x) + -5(2x + -1) = 7 (3 * 6 + -1x * 6) + -5(2x + -1) = 7 (18 + -6x) + -5(2x + -1) = 7 Reorder the terms: 18 + -6x + -5(-1 + 2x) = 7 18 + -6x + (-1 * -5 + 2x * -5) = 7 18 + -6x + (5 + -10x) = 7 Reorder the terms: 18 + 5 + -6x + -10x = 7 Combine like terms: 18 + 5 = 23 23 + -6x + -10x = 7 Combine like terms: -6x + -10x = -16x 23 + -16x = 7 Solving 23 + -16x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -16x = 7 + -23 Combine like terms: 23 + -23 = 0 0 + -16x = 7 + -23 -16x = 7 + -23 Combine like terms: 7 + -23 = -16 -16x = -16 Divide each side by '-16'. x = 1 Simplifying x = 1
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