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Simplifying 66x + -3(x + 1) = -2x + -33(6 + -1x) Reorder the terms: 66x + -3(1 + x) = -2x + -33(6 + -1x) 66x + (1 * -3 + x * -3) = -2x + -33(6 + -1x) 66x + (-3 + -3x) = -2x + -33(6 + -1x) Reorder the terms: -3 + 66x + -3x = -2x + -33(6 + -1x) Combine like terms: 66x + -3x = 63x -3 + 63x = -2x + -33(6 + -1x) -3 + 63x = -2x + (6 * -33 + -1x * -33) -3 + 63x = -2x + (-198 + 33x) Reorder the terms: -3 + 63x = -198 + -2x + 33x Combine like terms: -2x + 33x = 31x -3 + 63x = -198 + 31x Solving -3 + 63x = -198 + 31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31x' to each side of the equation. -3 + 63x + -31x = -198 + 31x + -31x Combine like terms: 63x + -31x = 32x -3 + 32x = -198 + 31x + -31x Combine like terms: 31x + -31x = 0 -3 + 32x = -198 + 0 -3 + 32x = -198 Add '3' to each side of the equation. -3 + 3 + 32x = -198 + 3 Combine like terms: -3 + 3 = 0 0 + 32x = -198 + 3 32x = -198 + 3 Combine like terms: -198 + 3 = -195 32x = -195 Divide each side by '32'. x = -6.09375 Simplifying x = -6.09375
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