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Simplifying 6(x + -5) + -1(2 + 8x) = -3x Reorder the terms: 6(-5 + x) + -1(2 + 8x) = -3x (-5 * 6 + x * 6) + -1(2 + 8x) = -3x (-30 + 6x) + -1(2 + 8x) = -3x -30 + 6x + (2 * -1 + 8x * -1) = -3x -30 + 6x + (-2 + -8x) = -3x Reorder the terms: -30 + -2 + 6x + -8x = -3x Combine like terms: -30 + -2 = -32 -32 + 6x + -8x = -3x Combine like terms: 6x + -8x = -2x -32 + -2x = -3x Solving -32 + -2x = -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. -32 + -2x + 3x = -3x + 3x Combine like terms: -2x + 3x = 1x -32 + 1x = -3x + 3x Combine like terms: -3x + 3x = 0 -32 + 1x = 0 Add '32' to each side of the equation. -32 + 32 + 1x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 1x = 0 + 32 1x = 0 + 32 Combine like terms: 0 + 32 = 32 1x = 32 Divide each side by '1'. x = 32 Simplifying x = 32
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