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Simplifying 3x + -1(6 + 2x) = 40 + -3(x + 8) + -36 3x + (6 * -1 + 2x * -1) = 40 + -3(x + 8) + -36 3x + (-6 + -2x) = 40 + -3(x + 8) + -36 Reorder the terms: -6 + 3x + -2x = 40 + -3(x + 8) + -36 Combine like terms: 3x + -2x = 1x -6 + 1x = 40 + -3(x + 8) + -36 Reorder the terms: -6 + 1x = 40 + -3(8 + x) + -36 -6 + 1x = 40 + (8 * -3 + x * -3) + -36 -6 + 1x = 40 + (-24 + -3x) + -36 Reorder the terms: -6 + 1x = 40 + -24 + -36 + -3x Combine like terms: 40 + -24 = 16 -6 + 1x = 16 + -36 + -3x Combine like terms: 16 + -36 = -20 -6 + 1x = -20 + -3x Solving -6 + 1x = -20 + -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. -6 + 1x + 3x = -20 + -3x + 3x Combine like terms: 1x + 3x = 4x -6 + 4x = -20 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 4x = -20 + 0 -6 + 4x = -20 Add '6' to each side of the equation. -6 + 6 + 4x = -20 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = -20 + 6 4x = -20 + 6 Combine like terms: -20 + 6 = -14 4x = -14 Divide each side by '4'. x = -3.5 Simplifying x = -3.5
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