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Simplifying 2(4x + -1) + -1(5 + -4) = 7 + -1(3x + 2) Reorder the terms: 2(-1 + 4x) + -1(5 + -4) = 7 + -1(3x + 2) (-1 * 2 + 4x * 2) + -1(5 + -4) = 7 + -1(3x + 2) (-2 + 8x) + -1(5 + -4) = 7 + -1(3x + 2) Combine like terms: 5 + -4 = 1 -2 + 8x + -1(1) = 7 + -1(3x + 2) Multiply -1 * 1 -2 + 8x + -1 = 7 + -1(3x + 2) Reorder the terms: -2 + -1 + 8x = 7 + -1(3x + 2) Combine like terms: -2 + -1 = -3 -3 + 8x = 7 + -1(3x + 2) Reorder the terms: -3 + 8x = 7 + -1(2 + 3x) -3 + 8x = 7 + (2 * -1 + 3x * -1) -3 + 8x = 7 + (-2 + -3x) Combine like terms: 7 + -2 = 5 -3 + 8x = 5 + -3x Solving -3 + 8x = 5 + -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. -3 + 8x + 3x = 5 + -3x + 3x Combine like terms: 8x + 3x = 11x -3 + 11x = 5 + -3x + 3x Combine like terms: -3x + 3x = 0 -3 + 11x = 5 + 0 -3 + 11x = 5 Add '3' to each side of the equation. -3 + 3 + 11x = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 11x = 5 + 3 11x = 5 + 3 Combine like terms: 5 + 3 = 8 11x = 8 Divide each side by '11'. x = 0.7272727273 Simplifying x = 0.7272727273
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