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