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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 + 7x = 7 + -2(1 + 3x) -21 + 7x = 7 + (1 * -2 + 3x * -2) -21 + 7x = 7 + (-2 + -6x) Combine like terms: 7 + -2 = 5 -21 + 7x = 5 + -6x Solving -21 + 7x = 5 + -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. -21 + 7x + 6x = 5 + -6x + 6x Combine like terms: 7x + 6x = 13x -21 + 13x = 5 + -6x + 6x Combine like terms: -6x + 6x = 0 -21 + 13x = 5 + 0 -21 + 13x = 5 Add '21' to each side of the equation. -21 + 21 + 13x = 5 + 21 Combine like terms: -21 + 21 = 0 0 + 13x = 5 + 21 13x = 5 + 21 Combine like terms: 5 + 21 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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