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Simplifying 2(4x + -7) + -3(x + -4) = 11 Reorder the terms: 2(-7 + 4x) + -3(x + -4) = 11 (-7 * 2 + 4x * 2) + -3(x + -4) = 11 (-14 + 8x) + -3(x + -4) = 11 Reorder the terms: -14 + 8x + -3(-4 + x) = 11 -14 + 8x + (-4 * -3 + x * -3) = 11 -14 + 8x + (12 + -3x) = 11 Reorder the terms: -14 + 12 + 8x + -3x = 11 Combine like terms: -14 + 12 = -2 -2 + 8x + -3x = 11 Combine like terms: 8x + -3x = 5x -2 + 5x = 11 Solving -2 + 5x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 5x = 11 + 2 Combine like terms: -2 + 2 = 0 0 + 5x = 11 + 2 5x = 11 + 2 Combine like terms: 11 + 2 = 13 5x = 13 Divide each side by '5'. x = 2.6 Simplifying x = 2.6
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