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Simplifying 10x + -2(3x + 1) = 1 + -4 + -1(2x + 3) Reorder the terms: 10x + -2(1 + 3x) = 1 + -4 + -1(2x + 3) 10x + (1 * -2 + 3x * -2) = 1 + -4 + -1(2x + 3) 10x + (-2 + -6x) = 1 + -4 + -1(2x + 3) Reorder the terms: -2 + 10x + -6x = 1 + -4 + -1(2x + 3) Combine like terms: 10x + -6x = 4x -2 + 4x = 1 + -4 + -1(2x + 3) Reorder the terms: -2 + 4x = 1 + -4 + -1(3 + 2x) -2 + 4x = 1 + -4 + (3 * -1 + 2x * -1) -2 + 4x = 1 + -4 + (-3 + -2x) Combine like terms: 1 + -4 = -3 -2 + 4x = -3 + -3 + -2x Combine like terms: -3 + -3 = -6 -2 + 4x = -6 + -2x Solving -2 + 4x = -6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -2 + 4x + 2x = -6 + -2x + 2x Combine like terms: 4x + 2x = 6x -2 + 6x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + 6x = -6 + 0 -2 + 6x = -6 Add '2' to each side of the equation. -2 + 2 + 6x = -6 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = -6 + 2 6x = -6 + 2 Combine like terms: -6 + 2 = -4 6x = -4 Divide each side by '6'. x = -0.6666666667 Simplifying x = -0.6666666667
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