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Simplifying 3x + -7 + 2 + -1(x + 4) = 9 + -2x + 5 + 6x Reorder the terms: 3x + -7 + 2 + -1(4 + x) = 9 + -2x + 5 + 6x 3x + -7 + 2 + (4 * -1 + x * -1) = 9 + -2x + 5 + 6x 3x + -7 + 2 + (-4 + -1x) = 9 + -2x + 5 + 6x Reorder the terms: -7 + 2 + -4 + 3x + -1x = 9 + -2x + 5 + 6x Combine like terms: -7 + 2 = -5 -5 + -4 + 3x + -1x = 9 + -2x + 5 + 6x Combine like terms: -5 + -4 = -9 -9 + 3x + -1x = 9 + -2x + 5 + 6x Combine like terms: 3x + -1x = 2x -9 + 2x = 9 + -2x + 5 + 6x Reorder the terms: -9 + 2x = 9 + 5 + -2x + 6x Combine like terms: 9 + 5 = 14 -9 + 2x = 14 + -2x + 6x Combine like terms: -2x + 6x = 4x -9 + 2x = 14 + 4x Solving -9 + 2x = 14 + 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. -9 + 2x + -4x = 14 + 4x + -4x Combine like terms: 2x + -4x = -2x -9 + -2x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + -2x = 14 + 0 -9 + -2x = 14 Add '9' to each side of the equation. -9 + 9 + -2x = 14 + 9 Combine like terms: -9 + 9 = 0 0 + -2x = 14 + 9 -2x = 14 + 9 Combine like terms: 14 + 9 = 23 -2x = 23 Divide each side by '-2'. x = -11.5 Simplifying x = -11.5
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