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Simplifying 2(4x + -3) + 2(7x + 4) + 2(x + -11) = 100 Reorder the terms: 2(-3 + 4x) + 2(7x + 4) + 2(x + -11) = 100 (-3 * 2 + 4x * 2) + 2(7x + 4) + 2(x + -11) = 100 (-6 + 8x) + 2(7x + 4) + 2(x + -11) = 100 Reorder the terms: -6 + 8x + 2(4 + 7x) + 2(x + -11) = 100 -6 + 8x + (4 * 2 + 7x * 2) + 2(x + -11) = 100 -6 + 8x + (8 + 14x) + 2(x + -11) = 100 Reorder the terms: -6 + 8x + 8 + 14x + 2(-11 + x) = 100 -6 + 8x + 8 + 14x + (-11 * 2 + x * 2) = 100 -6 + 8x + 8 + 14x + (-22 + 2x) = 100 Reorder the terms: -6 + 8 + -22 + 8x + 14x + 2x = 100 Combine like terms: -6 + 8 = 2 2 + -22 + 8x + 14x + 2x = 100 Combine like terms: 2 + -22 = -20 -20 + 8x + 14x + 2x = 100 Combine like terms: 8x + 14x = 22x -20 + 22x + 2x = 100 Combine like terms: 22x + 2x = 24x -20 + 24x = 100 Solving -20 + 24x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 24x = 100 + 20 Combine like terms: -20 + 20 = 0 0 + 24x = 100 + 20 24x = 100 + 20 Combine like terms: 100 + 20 = 120 24x = 120 Divide each side by '24'. x = 5 Simplifying x = 5
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