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Simplifying 2(3x + -7) = 28 + -3(x + 1) Reorder the terms: 2(-7 + 3x) = 28 + -3(x + 1) (-7 * 2 + 3x * 2) = 28 + -3(x + 1) (-14 + 6x) = 28 + -3(x + 1) Reorder the terms: -14 + 6x = 28 + -3(1 + x) -14 + 6x = 28 + (1 * -3 + x * -3) -14 + 6x = 28 + (-3 + -3x) Combine like terms: 28 + -3 = 25 -14 + 6x = 25 + -3x Solving -14 + 6x = 25 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -14 + 6x + 3x = 25 + -3x + 3x Combine like terms: 6x + 3x = 9x -14 + 9x = 25 + -3x + 3x Combine like terms: -3x + 3x = 0 -14 + 9x = 25 + 0 -14 + 9x = 25 Add '14' to each side of the equation. -14 + 14 + 9x = 25 + 14 Combine like terms: -14 + 14 = 0 0 + 9x = 25 + 14 9x = 25 + 14 Combine like terms: 25 + 14 = 39 9x = 39 Divide each side by '9'. x = 4.333333333 Simplifying x = 4.333333333
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