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Simplifying 4(x + -1) + 7(x + -2) = 90 Reorder the terms: 4(-1 + x) + 7(x + -2) = 90 (-1 * 4 + x * 4) + 7(x + -2) = 90 (-4 + 4x) + 7(x + -2) = 90 Reorder the terms: -4 + 4x + 7(-2 + x) = 90 -4 + 4x + (-2 * 7 + x * 7) = 90 -4 + 4x + (-14 + 7x) = 90 Reorder the terms: -4 + -14 + 4x + 7x = 90 Combine like terms: -4 + -14 = -18 -18 + 4x + 7x = 90 Combine like terms: 4x + 7x = 11x -18 + 11x = 90 Solving -18 + 11x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 11x = 90 + 18 Combine like terms: -18 + 18 = 0 0 + 11x = 90 + 18 11x = 90 + 18 Combine like terms: 90 + 18 = 108 11x = 108 Divide each side by '11'. x = 9.818181818 Simplifying x = 9.818181818
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