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Simplifying 10x + -1(4x + 2) = 6 + -1(21x + -19) Reorder the terms: 10x + -1(2 + 4x) = 6 + -1(21x + -19) 10x + (2 * -1 + 4x * -1) = 6 + -1(21x + -19) 10x + (-2 + -4x) = 6 + -1(21x + -19) Reorder the terms: -2 + 10x + -4x = 6 + -1(21x + -19) Combine like terms: 10x + -4x = 6x -2 + 6x = 6 + -1(21x + -19) Reorder the terms: -2 + 6x = 6 + -1(-19 + 21x) -2 + 6x = 6 + (-19 * -1 + 21x * -1) -2 + 6x = 6 + (19 + -21x) Combine like terms: 6 + 19 = 25 -2 + 6x = 25 + -21x Solving -2 + 6x = 25 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -2 + 6x + 21x = 25 + -21x + 21x Combine like terms: 6x + 21x = 27x -2 + 27x = 25 + -21x + 21x Combine like terms: -21x + 21x = 0 -2 + 27x = 25 + 0 -2 + 27x = 25 Add '2' to each side of the equation. -2 + 2 + 27x = 25 + 2 Combine like terms: -2 + 2 = 0 0 + 27x = 25 + 2 27x = 25 + 2 Combine like terms: 25 + 2 = 27 27x = 27 Divide each side by '27'. x = 1 Simplifying x = 1
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