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Simplifying 40x + -8 + -1(3x + 6) = 6x + -6 + -12 Reorder the terms: 40x + -8 + -1(6 + 3x) = 6x + -6 + -12 40x + -8 + (6 * -1 + 3x * -1) = 6x + -6 + -12 40x + -8 + (-6 + -3x) = 6x + -6 + -12 Reorder the terms: -8 + -6 + 40x + -3x = 6x + -6 + -12 Combine like terms: -8 + -6 = -14 -14 + 40x + -3x = 6x + -6 + -12 Combine like terms: 40x + -3x = 37x -14 + 37x = 6x + -6 + -12 Reorder the terms: -14 + 37x = -6 + -12 + 6x Combine like terms: -6 + -12 = -18 -14 + 37x = -18 + 6x Solving -14 + 37x = -18 + 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. -14 + 37x + -6x = -18 + 6x + -6x Combine like terms: 37x + -6x = 31x -14 + 31x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 -14 + 31x = -18 + 0 -14 + 31x = -18 Add '14' to each side of the equation. -14 + 14 + 31x = -18 + 14 Combine like terms: -14 + 14 = 0 0 + 31x = -18 + 14 31x = -18 + 14 Combine like terms: -18 + 14 = -4 31x = -4 Divide each side by '31'. x = -0.1290322581 Simplifying x = -0.1290322581
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