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Simplifying -7(x + 3) + 3x + 5 = 8x + 9 Reorder the terms: -7(3 + x) + 3x + 5 = 8x + 9 (3 * -7 + x * -7) + 3x + 5 = 8x + 9 (-21 + -7x) + 3x + 5 = 8x + 9 Reorder the terms: -21 + 5 + -7x + 3x = 8x + 9 Combine like terms: -21 + 5 = -16 -16 + -7x + 3x = 8x + 9 Combine like terms: -7x + 3x = -4x -16 + -4x = 8x + 9 Reorder the terms: -16 + -4x = 9 + 8x Solving -16 + -4x = 9 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -16 + -4x + -8x = 9 + 8x + -8x Combine like terms: -4x + -8x = -12x -16 + -12x = 9 + 8x + -8x Combine like terms: 8x + -8x = 0 -16 + -12x = 9 + 0 -16 + -12x = 9 Add '16' to each side of the equation. -16 + 16 + -12x = 9 + 16 Combine like terms: -16 + 16 = 0 0 + -12x = 9 + 16 -12x = 9 + 16 Combine like terms: 9 + 16 = 25 -12x = 25 Divide each side by '-12'. x = -2.083333333 Simplifying x = -2.083333333
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