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Simplifying 3 + 2x + (3x + -4) = 2x + 12 + -1(x + 7) Reorder the terms: 3 + 2x + (-4 + 3x) = 2x + 12 + -1(x + 7) Remove parenthesis around (-4 + 3x) 3 + 2x + -4 + 3x = 2x + 12 + -1(x + 7) Reorder the terms: 3 + -4 + 2x + 3x = 2x + 12 + -1(x + 7) Combine like terms: 3 + -4 = -1 -1 + 2x + 3x = 2x + 12 + -1(x + 7) Combine like terms: 2x + 3x = 5x -1 + 5x = 2x + 12 + -1(x + 7) Reorder the terms: -1 + 5x = 2x + 12 + -1(7 + x) -1 + 5x = 2x + 12 + (7 * -1 + x * -1) -1 + 5x = 2x + 12 + (-7 + -1x) Reorder the terms: -1 + 5x = 12 + -7 + 2x + -1x Combine like terms: 12 + -7 = 5 -1 + 5x = 5 + 2x + -1x Combine like terms: 2x + -1x = 1x -1 + 5x = 5 + 1x Solving -1 + 5x = 5 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -1 + 5x + -1x = 5 + 1x + -1x Combine like terms: 5x + -1x = 4x -1 + 4x = 5 + 1x + -1x Combine like terms: 1x + -1x = 0 -1 + 4x = 5 + 0 -1 + 4x = 5 Add '1' to each side of the equation. -1 + 1 + 4x = 5 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 5 + 1 4x = 5 + 1 Combine like terms: 5 + 1 = 6 4x = 6 Divide each side by '4'. x = 1.5 Simplifying x = 1.5
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