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Simplifying 8x + -3(x + 7) = 4x + -9 Reorder the terms: 8x + -3(7 + x) = 4x + -9 8x + (7 * -3 + x * -3) = 4x + -9 8x + (-21 + -3x) = 4x + -9 Reorder the terms: -21 + 8x + -3x = 4x + -9 Combine like terms: 8x + -3x = 5x -21 + 5x = 4x + -9 Reorder the terms: -21 + 5x = -9 + 4x Solving -21 + 5x = -9 + 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. -21 + 5x + -4x = -9 + 4x + -4x Combine like terms: 5x + -4x = 1x -21 + 1x = -9 + 4x + -4x Combine like terms: 4x + -4x = 0 -21 + 1x = -9 + 0 -21 + 1x = -9 Add '21' to each side of the equation. -21 + 21 + 1x = -9 + 21 Combine like terms: -21 + 21 = 0 0 + 1x = -9 + 21 1x = -9 + 21 Combine like terms: -9 + 21 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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