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Simplifying 10x + -1(2x + 1) + 3x = 6 + -1(4x + -3) Reorder the terms: 10x + -1(1 + 2x) + 3x = 6 + -1(4x + -3) 10x + (1 * -1 + 2x * -1) + 3x = 6 + -1(4x + -3) 10x + (-1 + -2x) + 3x = 6 + -1(4x + -3) Reorder the terms: -1 + 10x + -2x + 3x = 6 + -1(4x + -3) Combine like terms: 10x + -2x = 8x -1 + 8x + 3x = 6 + -1(4x + -3) Combine like terms: 8x + 3x = 11x -1 + 11x = 6 + -1(4x + -3) Reorder the terms: -1 + 11x = 6 + -1(-3 + 4x) -1 + 11x = 6 + (-3 * -1 + 4x * -1) -1 + 11x = 6 + (3 + -4x) Combine like terms: 6 + 3 = 9 -1 + 11x = 9 + -4x Solving -1 + 11x = 9 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -1 + 11x + 4x = 9 + -4x + 4x Combine like terms: 11x + 4x = 15x -1 + 15x = 9 + -4x + 4x Combine like terms: -4x + 4x = 0 -1 + 15x = 9 + 0 -1 + 15x = 9 Add '1' to each side of the equation. -1 + 1 + 15x = 9 + 1 Combine like terms: -1 + 1 = 0 0 + 15x = 9 + 1 15x = 9 + 1 Combine like terms: 9 + 1 = 10 15x = 10 Divide each side by '15'. x = 0.6666666667 Simplifying x = 0.6666666667
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