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Simplifying 6x + -5 = -7(x + -3) Reorder the terms: -5 + 6x = -7(x + -3) Reorder the terms: -5 + 6x = -7(-3 + x) -5 + 6x = (-3 * -7 + x * -7) -5 + 6x = (21 + -7x) Solving -5 + 6x = 21 + -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. -5 + 6x + 7x = 21 + -7x + 7x Combine like terms: 6x + 7x = 13x -5 + 13x = 21 + -7x + 7x Combine like terms: -7x + 7x = 0 -5 + 13x = 21 + 0 -5 + 13x = 21 Add '5' to each side of the equation. -5 + 5 + 13x = 21 + 5 Combine like terms: -5 + 5 = 0 0 + 13x = 21 + 5 13x = 21 + 5 Combine like terms: 21 + 5 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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