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Simplifying 8(5x + -2) + 3(4 + -6) + -2x = 3 + -1(2 + -1x) + 4(x + -1) Reorder the terms: 8(-2 + 5x) + 3(4 + -6) + -2x = 3 + -1(2 + -1x) + 4(x + -1) (-2 * 8 + 5x * 8) + 3(4 + -6) + -2x = 3 + -1(2 + -1x) + 4(x + -1) (-16 + 40x) + 3(4 + -6) + -2x = 3 + -1(2 + -1x) + 4(x + -1) Combine like terms: 4 + -6 = -2 -16 + 40x + 3(-2) + -2x = 3 + -1(2 + -1x) + 4(x + -1) Multiply 3 * -2 -16 + 40x + -6 + -2x = 3 + -1(2 + -1x) + 4(x + -1) Reorder the terms: -16 + -6 + 40x + -2x = 3 + -1(2 + -1x) + 4(x + -1) Combine like terms: -16 + -6 = -22 -22 + 40x + -2x = 3 + -1(2 + -1x) + 4(x + -1) Combine like terms: 40x + -2x = 38x -22 + 38x = 3 + -1(2 + -1x) + 4(x + -1) -22 + 38x = 3 + (2 * -1 + -1x * -1) + 4(x + -1) -22 + 38x = 3 + (-2 + 1x) + 4(x + -1) Reorder the terms: -22 + 38x = 3 + -2 + 1x + 4(-1 + x) -22 + 38x = 3 + -2 + 1x + (-1 * 4 + x * 4) -22 + 38x = 3 + -2 + 1x + (-4 + 4x) Reorder the terms: -22 + 38x = 3 + -2 + -4 + 1x + 4x Combine like terms: 3 + -2 = 1 -22 + 38x = 1 + -4 + 1x + 4x Combine like terms: 1 + -4 = -3 -22 + 38x = -3 + 1x + 4x Combine like terms: 1x + 4x = 5x -22 + 38x = -3 + 5x Solving -22 + 38x = -3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -22 + 38x + -5x = -3 + 5x + -5x Combine like terms: 38x + -5x = 33x -22 + 33x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 -22 + 33x = -3 + 0 -22 + 33x = -3 Add '22' to each side of the equation. -22 + 22 + 33x = -3 + 22 Combine like terms: -22 + 22 = 0 0 + 33x = -3 + 22 33x = -3 + 22 Combine like terms: -3 + 22 = 19 33x = 19 Divide each side by '33'. x = 0.5757575758 Simplifying x = 0.5757575758
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