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Simplifying 8(x + 2) + -3(x + 4) = 3(x + -7) + 9 Reorder the terms: 8(2 + x) + -3(x + 4) = 3(x + -7) + 9 (2 * 8 + x * 8) + -3(x + 4) = 3(x + -7) + 9 (16 + 8x) + -3(x + 4) = 3(x + -7) + 9 Reorder the terms: 16 + 8x + -3(4 + x) = 3(x + -7) + 9 16 + 8x + (4 * -3 + x * -3) = 3(x + -7) + 9 16 + 8x + (-12 + -3x) = 3(x + -7) + 9 Reorder the terms: 16 + -12 + 8x + -3x = 3(x + -7) + 9 Combine like terms: 16 + -12 = 4 4 + 8x + -3x = 3(x + -7) + 9 Combine like terms: 8x + -3x = 5x 4 + 5x = 3(x + -7) + 9 Reorder the terms: 4 + 5x = 3(-7 + x) + 9 4 + 5x = (-7 * 3 + x * 3) + 9 4 + 5x = (-21 + 3x) + 9 Reorder the terms: 4 + 5x = -21 + 9 + 3x Combine like terms: -21 + 9 = -12 4 + 5x = -12 + 3x Solving 4 + 5x = -12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + 5x + -3x = -12 + 3x + -3x Combine like terms: 5x + -3x = 2x 4 + 2x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 2x = -12 + 0 4 + 2x = -12 Add '-4' to each side of the equation. 4 + -4 + 2x = -12 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = -12 + -4 2x = -12 + -4 Combine like terms: -12 + -4 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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