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Simplifying 10(x + 3) + -4(11 + -1x) = 1 + 1(3x + -1) Reorder the terms: 10(3 + x) + -4(11 + -1x) = 1 + 1(3x + -1) (3 * 10 + x * 10) + -4(11 + -1x) = 1 + 1(3x + -1) (30 + 10x) + -4(11 + -1x) = 1 + 1(3x + -1) 30 + 10x + (11 * -4 + -1x * -4) = 1 + 1(3x + -1) 30 + 10x + (-44 + 4x) = 1 + 1(3x + -1) Reorder the terms: 30 + -44 + 10x + 4x = 1 + 1(3x + -1) Combine like terms: 30 + -44 = -14 -14 + 10x + 4x = 1 + 1(3x + -1) Combine like terms: 10x + 4x = 14x -14 + 14x = 1 + 1(3x + -1) Reorder the terms: -14 + 14x = 1 + 1(-1 + 3x) -14 + 14x = 1 + (-1 * 1 + 3x * 1) -14 + 14x = 1 + (-1 + 3x) Combine like terms: 1 + -1 = 0 -14 + 14x = 0 + 3x -14 + 14x = 3x Solving -14 + 14x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -14 + 14x + -3x = 3x + -3x Combine like terms: 14x + -3x = 11x -14 + 11x = 3x + -3x Combine like terms: 3x + -3x = 0 -14 + 11x = 0 Add '14' to each side of the equation. -14 + 14 + 11x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 11x = 0 + 14 11x = 0 + 14 Combine like terms: 0 + 14 = 14 11x = 14 Divide each side by '11'. x = 1.272727273 Simplifying x = 1.272727273
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