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Simplifying 3x + 2(x + 4) + -9 = 7(x + -2) + 1 Reorder the terms: 3x + 2(4 + x) + -9 = 7(x + -2) + 1 3x + (4 * 2 + x * 2) + -9 = 7(x + -2) + 1 3x + (8 + 2x) + -9 = 7(x + -2) + 1 Reorder the terms: 8 + -9 + 3x + 2x = 7(x + -2) + 1 Combine like terms: 8 + -9 = -1 -1 + 3x + 2x = 7(x + -2) + 1 Combine like terms: 3x + 2x = 5x -1 + 5x = 7(x + -2) + 1 Reorder the terms: -1 + 5x = 7(-2 + x) + 1 -1 + 5x = (-2 * 7 + x * 7) + 1 -1 + 5x = (-14 + 7x) + 1 Reorder the terms: -1 + 5x = -14 + 1 + 7x Combine like terms: -14 + 1 = -13 -1 + 5x = -13 + 7x Solving -1 + 5x = -13 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -1 + 5x + -7x = -13 + 7x + -7x Combine like terms: 5x + -7x = -2x -1 + -2x = -13 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + -2x = -13 + 0 -1 + -2x = -13 Add '1' to each side of the equation. -1 + 1 + -2x = -13 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = -13 + 1 -2x = -13 + 1 Combine like terms: -13 + 1 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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