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Simplifying 4(2x + -3) + 8 = 3x + -9 Reorder the terms: 4(-3 + 2x) + 8 = 3x + -9 (-3 * 4 + 2x * 4) + 8 = 3x + -9 (-12 + 8x) + 8 = 3x + -9 Reorder the terms: -12 + 8 + 8x = 3x + -9 Combine like terms: -12 + 8 = -4 -4 + 8x = 3x + -9 Reorder the terms: -4 + 8x = -9 + 3x Solving -4 + 8x = -9 + 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 + 8x + -3x = -9 + 3x + -3x Combine like terms: 8x + -3x = 5x -4 + 5x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 5x = -9 + 0 -4 + 5x = -9 Add '4' to each side of the equation. -4 + 4 + 5x = -9 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = -9 + 4 5x = -9 + 4 Combine like terms: -9 + 4 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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