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Simplifying 3x + -1(x + 7) = 23 + -1(4x + 2) Reorder the terms: 3x + -1(7 + x) = 23 + -1(4x + 2) 3x + (7 * -1 + x * -1) = 23 + -1(4x + 2) 3x + (-7 + -1x) = 23 + -1(4x + 2) Reorder the terms: -7 + 3x + -1x = 23 + -1(4x + 2) Combine like terms: 3x + -1x = 2x -7 + 2x = 23 + -1(4x + 2) Reorder the terms: -7 + 2x = 23 + -1(2 + 4x) -7 + 2x = 23 + (2 * -1 + 4x * -1) -7 + 2x = 23 + (-2 + -4x) Combine like terms: 23 + -2 = 21 -7 + 2x = 21 + -4x Solving -7 + 2x = 21 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -7 + 2x + 4x = 21 + -4x + 4x Combine like terms: 2x + 4x = 6x -7 + 6x = 21 + -4x + 4x Combine like terms: -4x + 4x = 0 -7 + 6x = 21 + 0 -7 + 6x = 21 Add '7' to each side of the equation. -7 + 7 + 6x = 21 + 7 Combine like terms: -7 + 7 = 0 0 + 6x = 21 + 7 6x = 21 + 7 Combine like terms: 21 + 7 = 28 6x = 28 Divide each side by '6'. x = 4.666666667 Simplifying x = 4.666666667
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