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Simplifying -7(x + 3) + 4x + 7 = 6x + 8 Reorder the terms: -7(3 + x) + 4x + 7 = 6x + 8 (3 * -7 + x * -7) + 4x + 7 = 6x + 8 (-21 + -7x) + 4x + 7 = 6x + 8 Reorder the terms: -21 + 7 + -7x + 4x = 6x + 8 Combine like terms: -21 + 7 = -14 -14 + -7x + 4x = 6x + 8 Combine like terms: -7x + 4x = -3x -14 + -3x = 6x + 8 Reorder the terms: -14 + -3x = 8 + 6x Solving -14 + -3x = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -14 + -3x + -6x = 8 + 6x + -6x Combine like terms: -3x + -6x = -9x -14 + -9x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 -14 + -9x = 8 + 0 -14 + -9x = 8 Add '14' to each side of the equation. -14 + 14 + -9x = 8 + 14 Combine like terms: -14 + 14 = 0 0 + -9x = 8 + 14 -9x = 8 + 14 Combine like terms: 8 + 14 = 22 -9x = 22 Divide each side by '-9'. x = -2.444444444 Simplifying x = -2.444444444
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