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Simplifying 7(x + -3) + -7 = -2(3x + -1) Reorder the terms: 7(-3 + x) + -7 = -2(3x + -1) (-3 * 7 + x * 7) + -7 = -2(3x + -1) (-21 + 7x) + -7 = -2(3x + -1) Reorder the terms: -21 + -7 + 7x = -2(3x + -1) Combine like terms: -21 + -7 = -28 -28 + 7x = -2(3x + -1) Reorder the terms: -28 + 7x = -2(-1 + 3x) -28 + 7x = (-1 * -2 + 3x * -2) -28 + 7x = (2 + -6x) Solving -28 + 7x = 2 + -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. -28 + 7x + 6x = 2 + -6x + 6x Combine like terms: 7x + 6x = 13x -28 + 13x = 2 + -6x + 6x Combine like terms: -6x + 6x = 0 -28 + 13x = 2 + 0 -28 + 13x = 2 Add '28' to each side of the equation. -28 + 28 + 13x = 2 + 28 Combine like terms: -28 + 28 = 0 0 + 13x = 2 + 28 13x = 2 + 28 Combine like terms: 2 + 28 = 30 13x = 30 Divide each side by '13'. x = 2.307692308 Simplifying x = 2.307692308
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