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Simplifying 5(2x * 2 + -1) + -1(10 * 2 + -6) = -1(x + 2) Reorder the terms for easier multiplication: 5(2 * 2x + -1) + -1(10 * 2 + -6) = -1(x + 2) Multiply 2 * 2 5(4x + -1) + -1(10 * 2 + -6) = -1(x + 2) Reorder the terms: 5(-1 + 4x) + -1(10 * 2 + -6) = -1(x + 2) (-1 * 5 + 4x * 5) + -1(10 * 2 + -6) = -1(x + 2) (-5 + 20x) + -1(10 * 2 + -6) = -1(x + 2) Multiply 10 * 2 -5 + 20x + -1(20 + -6) = -1(x + 2) Combine like terms: 20 + -6 = 14 -5 + 20x + -1(14) = -1(x + 2) Multiply -1 * 14 -5 + 20x + -14 = -1(x + 2) Reorder the terms: -5 + -14 + 20x = -1(x + 2) Combine like terms: -5 + -14 = -19 -19 + 20x = -1(x + 2) Reorder the terms: -19 + 20x = -1(2 + x) -19 + 20x = (2 * -1 + x * -1) -19 + 20x = (-2 + -1x) Solving -19 + 20x = -2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -19 + 20x + x = -2 + -1x + x Combine like terms: 20x + x = 21x -19 + 21x = -2 + -1x + x Combine like terms: -1x + x = 0 -19 + 21x = -2 + 0 -19 + 21x = -2 Add '19' to each side of the equation. -19 + 19 + 21x = -2 + 19 Combine like terms: -19 + 19 = 0 0 + 21x = -2 + 19 21x = -2 + 19 Combine like terms: -2 + 19 = 17 21x = 17 Divide each side by '21'. x = 0.8095238095 Simplifying x = 0.8095238095
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