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Simplifying 4(2x + 3) = 5(x + -3) Reorder the terms: 4(3 + 2x) = 5(x + -3) (3 * 4 + 2x * 4) = 5(x + -3) (12 + 8x) = 5(x + -3) Reorder the terms: 12 + 8x = 5(-3 + x) 12 + 8x = (-3 * 5 + x * 5) 12 + 8x = (-15 + 5x) Solving 12 + 8x = -15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 8x + -5x = -15 + 5x + -5x Combine like terms: 8x + -5x = 3x 12 + 3x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 3x = -15 + 0 12 + 3x = -15 Add '-12' to each side of the equation. 12 + -12 + 3x = -15 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = -15 + -12 3x = -15 + -12 Combine like terms: -15 + -12 = -27 3x = -27 Divide each side by '3'. x = -9 Simplifying x = -9
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