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Simplifying 4(2x + -3) = 3(4 + -5x) Reorder the terms: 4(-3 + 2x) = 3(4 + -5x) (-3 * 4 + 2x * 4) = 3(4 + -5x) (-12 + 8x) = 3(4 + -5x) -12 + 8x = (4 * 3 + -5x * 3) -12 + 8x = (12 + -15x) Solving -12 + 8x = 12 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -12 + 8x + 15x = 12 + -15x + 15x Combine like terms: 8x + 15x = 23x -12 + 23x = 12 + -15x + 15x Combine like terms: -15x + 15x = 0 -12 + 23x = 12 + 0 -12 + 23x = 12 Add '12' to each side of the equation. -12 + 12 + 23x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 23x = 12 + 12 23x = 12 + 12 Combine like terms: 12 + 12 = 24 23x = 24 Divide each side by '23'. x = 1.043478261 Simplifying x = 1.043478261
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