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Simplifying 2(5x + -6) + 11(x + -10) = 88 + -4 Reorder the terms: 2(-6 + 5x) + 11(x + -10) = 88 + -4 (-6 * 2 + 5x * 2) + 11(x + -10) = 88 + -4 (-12 + 10x) + 11(x + -10) = 88 + -4 Reorder the terms: -12 + 10x + 11(-10 + x) = 88 + -4 -12 + 10x + (-10 * 11 + x * 11) = 88 + -4 -12 + 10x + (-110 + 11x) = 88 + -4 Reorder the terms: -12 + -110 + 10x + 11x = 88 + -4 Combine like terms: -12 + -110 = -122 -122 + 10x + 11x = 88 + -4 Combine like terms: 10x + 11x = 21x -122 + 21x = 88 + -4 Combine like terms: 88 + -4 = 84 -122 + 21x = 84 Solving -122 + 21x = 84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '122' to each side of the equation. -122 + 122 + 21x = 84 + 122 Combine like terms: -122 + 122 = 0 0 + 21x = 84 + 122 21x = 84 + 122 Combine like terms: 84 + 122 = 206 21x = 206 Divide each side by '21'. x = 9.80952381 Simplifying x = 9.80952381
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