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Simplifying 2(4x + -6) + 10(2x + -1) = 11 Reorder the terms: 2(-6 + 4x) + 10(2x + -1) = 11 (-6 * 2 + 4x * 2) + 10(2x + -1) = 11 (-12 + 8x) + 10(2x + -1) = 11 Reorder the terms: -12 + 8x + 10(-1 + 2x) = 11 -12 + 8x + (-1 * 10 + 2x * 10) = 11 -12 + 8x + (-10 + 20x) = 11 Reorder the terms: -12 + -10 + 8x + 20x = 11 Combine like terms: -12 + -10 = -22 -22 + 8x + 20x = 11 Combine like terms: 8x + 20x = 28x -22 + 28x = 11 Solving -22 + 28x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 28x = 11 + 22 Combine like terms: -22 + 22 = 0 0 + 28x = 11 + 22 28x = 11 + 22 Combine like terms: 11 + 22 = 33 28x = 33 Divide each side by '28'. x = 1.178571429 Simplifying x = 1.178571429
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