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Simplifying 4(2x + -3) = 5(x + 2) Reorder the terms: 4(-3 + 2x) = 5(x + 2) (-3 * 4 + 2x * 4) = 5(x + 2) (-12 + 8x) = 5(x + 2) Reorder the terms: -12 + 8x = 5(2 + x) -12 + 8x = (2 * 5 + x * 5) -12 + 8x = (10 + 5x) Solving -12 + 8x = 10 + 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 = 10 + 5x + -5x Combine like terms: 8x + -5x = 3x -12 + 3x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 3x = 10 + 0 -12 + 3x = 10 Add '12' to each side of the equation. -12 + 12 + 3x = 10 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = 10 + 12 3x = 10 + 12 Combine like terms: 10 + 12 = 22 3x = 22 Divide each side by '3'. x = 7.333333333 Simplifying x = 7.333333333
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