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Simplifying 8(5x + -3) + 4(1 + -8x) = 3x + -8 + 3x + -2 Reorder the terms: 8(-3 + 5x) + 4(1 + -8x) = 3x + -8 + 3x + -2 (-3 * 8 + 5x * 8) + 4(1 + -8x) = 3x + -8 + 3x + -2 (-24 + 40x) + 4(1 + -8x) = 3x + -8 + 3x + -2 -24 + 40x + (1 * 4 + -8x * 4) = 3x + -8 + 3x + -2 -24 + 40x + (4 + -32x) = 3x + -8 + 3x + -2 Reorder the terms: -24 + 4 + 40x + -32x = 3x + -8 + 3x + -2 Combine like terms: -24 + 4 = -20 -20 + 40x + -32x = 3x + -8 + 3x + -2 Combine like terms: 40x + -32x = 8x -20 + 8x = 3x + -8 + 3x + -2 Reorder the terms: -20 + 8x = -8 + -2 + 3x + 3x Combine like terms: -8 + -2 = -10 -20 + 8x = -10 + 3x + 3x Combine like terms: 3x + 3x = 6x -20 + 8x = -10 + 6x Solving -20 + 8x = -10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -20 + 8x + -6x = -10 + 6x + -6x Combine like terms: 8x + -6x = 2x -20 + 2x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 -20 + 2x = -10 + 0 -20 + 2x = -10 Add '20' to each side of the equation. -20 + 20 + 2x = -10 + 20 Combine like terms: -20 + 20 = 0 0 + 2x = -10 + 20 2x = -10 + 20 Combine like terms: -10 + 20 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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