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Simplifying -5x + 9 = -4(2x + 3) Reorder the terms: 9 + -5x = -4(2x + 3) Reorder the terms: 9 + -5x = -4(3 + 2x) 9 + -5x = (3 * -4 + 2x * -4) 9 + -5x = (-12 + -8x) Solving 9 + -5x = -12 + -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. 9 + -5x + 8x = -12 + -8x + 8x Combine like terms: -5x + 8x = 3x 9 + 3x = -12 + -8x + 8x Combine like terms: -8x + 8x = 0 9 + 3x = -12 + 0 9 + 3x = -12 Add '-9' to each side of the equation. 9 + -9 + 3x = -12 + -9 Combine like terms: 9 + -9 = 0 0 + 3x = -12 + -9 3x = -12 + -9 Combine like terms: -12 + -9 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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