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Simplifying 10 + -1x + -9 = -11x + 91 + 4(3 + -1x) Reorder the terms: 10 + -9 + -1x = -11x + 91 + 4(3 + -1x) Combine like terms: 10 + -9 = 1 1 + -1x = -11x + 91 + 4(3 + -1x) 1 + -1x = -11x + 91 + (3 * 4 + -1x * 4) 1 + -1x = -11x + 91 + (12 + -4x) Reorder the terms: 1 + -1x = 91 + 12 + -11x + -4x Combine like terms: 91 + 12 = 103 1 + -1x = 103 + -11x + -4x Combine like terms: -11x + -4x = -15x 1 + -1x = 103 + -15x Solving 1 + -1x = 103 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 1 + -1x + 15x = 103 + -15x + 15x Combine like terms: -1x + 15x = 14x 1 + 14x = 103 + -15x + 15x Combine like terms: -15x + 15x = 0 1 + 14x = 103 + 0 1 + 14x = 103 Add '-1' to each side of the equation. 1 + -1 + 14x = 103 + -1 Combine like terms: 1 + -1 = 0 0 + 14x = 103 + -1 14x = 103 + -1 Combine like terms: 103 + -1 = 102 14x = 102 Divide each side by '14'. x = 7.285714286 Simplifying x = 7.285714286
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