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Simplifying 13 + -10(9 + -8x) = 7(9 + -1x) + -13x 13 + (9 * -10 + -8x * -10) = 7(9 + -1x) + -13x 13 + (-90 + 80x) = 7(9 + -1x) + -13x Combine like terms: 13 + -90 = -77 -77 + 80x = 7(9 + -1x) + -13x -77 + 80x = (9 * 7 + -1x * 7) + -13x -77 + 80x = (63 + -7x) + -13x Combine like terms: -7x + -13x = -20x -77 + 80x = 63 + -20x Solving -77 + 80x = 63 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -77 + 80x + 20x = 63 + -20x + 20x Combine like terms: 80x + 20x = 100x -77 + 100x = 63 + -20x + 20x Combine like terms: -20x + 20x = 0 -77 + 100x = 63 + 0 -77 + 100x = 63 Add '77' to each side of the equation. -77 + 77 + 100x = 63 + 77 Combine like terms: -77 + 77 = 0 0 + 100x = 63 + 77 100x = 63 + 77 Combine like terms: 63 + 77 = 140 100x = 140 Divide each side by '100'. x = 1.4 Simplifying x = 1.4
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