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Simplifying 4(2x + -3) + 5(3x + -4) = 14 Reorder the terms: 4(-3 + 2x) + 5(3x + -4) = 14 (-3 * 4 + 2x * 4) + 5(3x + -4) = 14 (-12 + 8x) + 5(3x + -4) = 14 Reorder the terms: -12 + 8x + 5(-4 + 3x) = 14 -12 + 8x + (-4 * 5 + 3x * 5) = 14 -12 + 8x + (-20 + 15x) = 14 Reorder the terms: -12 + -20 + 8x + 15x = 14 Combine like terms: -12 + -20 = -32 -32 + 8x + 15x = 14 Combine like terms: 8x + 15x = 23x -32 + 23x = 14 Solving -32 + 23x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 23x = 14 + 32 Combine like terms: -32 + 32 = 0 0 + 23x = 14 + 32 23x = 14 + 32 Combine like terms: 14 + 32 = 46 23x = 46 Divide each side by '23'. x = 2 Simplifying x = 2
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