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Simplifying 8(5x + -2) + 3(4 + -6x) + -2x = 3 + -1(2 + -1x) + 4(x + -1) Reorder the terms: 8(-2 + 5x) + 3(4 + -6x) + -2x = 3 + -1(2 + -1x) + 4(x + -1) (-2 * 8 + 5x * 8) + 3(4 + -6x) + -2x = 3 + -1(2 + -1x) + 4(x + -1) (-16 + 40x) + 3(4 + -6x) + -2x = 3 + -1(2 + -1x) + 4(x + -1) -16 + 40x + (4 * 3 + -6x * 3) + -2x = 3 + -1(2 + -1x) + 4(x + -1) -16 + 40x + (12 + -18x) + -2x = 3 + -1(2 + -1x) + 4(x + -1) Reorder the terms: -16 + 12 + 40x + -18x + -2x = 3 + -1(2 + -1x) + 4(x + -1) Combine like terms: -16 + 12 = -4 -4 + 40x + -18x + -2x = 3 + -1(2 + -1x) + 4(x + -1) Combine like terms: 40x + -18x = 22x -4 + 22x + -2x = 3 + -1(2 + -1x) + 4(x + -1) Combine like terms: 22x + -2x = 20x -4 + 20x = 3 + -1(2 + -1x) + 4(x + -1) -4 + 20x = 3 + (2 * -1 + -1x * -1) + 4(x + -1) -4 + 20x = 3 + (-2 + 1x) + 4(x + -1) Reorder the terms: -4 + 20x = 3 + -2 + 1x + 4(-1 + x) -4 + 20x = 3 + -2 + 1x + (-1 * 4 + x * 4) -4 + 20x = 3 + -2 + 1x + (-4 + 4x) Reorder the terms: -4 + 20x = 3 + -2 + -4 + 1x + 4x Combine like terms: 3 + -2 = 1 -4 + 20x = 1 + -4 + 1x + 4x Combine like terms: 1 + -4 = -3 -4 + 20x = -3 + 1x + 4x Combine like terms: 1x + 4x = 5x -4 + 20x = -3 + 5x Solving -4 + 20x = -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. -4 + 20x + -5x = -3 + 5x + -5x Combine like terms: 20x + -5x = 15x -4 + 15x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 15x = -3 + 0 -4 + 15x = -3 Add '4' to each side of the equation. -4 + 4 + 15x = -3 + 4 Combine like terms: -4 + 4 = 0 0 + 15x = -3 + 4 15x = -3 + 4 Combine like terms: -3 + 4 = 1 15x = 1 Divide each side by '15'. x = 0.06666666667 Simplifying x = 0.06666666667
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