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Simplifying 3x + (-2) + -8(3x + 4) = x + -4 3x + -2 + -8(3x + 4) = x + -4 Reorder the terms: 3x + -2 + -8(4 + 3x) = x + -4 3x + -2 + (4 * -8 + 3x * -8) = x + -4 3x + -2 + (-32 + -24x) = x + -4 Reorder the terms: -2 + -32 + 3x + -24x = x + -4 Combine like terms: -2 + -32 = -34 -34 + 3x + -24x = x + -4 Combine like terms: 3x + -24x = -21x -34 + -21x = x + -4 Reorder the terms: -34 + -21x = -4 + x Solving -34 + -21x = -4 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -34 + -21x + -1x = -4 + x + -1x Combine like terms: -21x + -1x = -22x -34 + -22x = -4 + x + -1x Combine like terms: x + -1x = 0 -34 + -22x = -4 + 0 -34 + -22x = -4 Add '34' to each side of the equation. -34 + 34 + -22x = -4 + 34 Combine like terms: -34 + 34 = 0 0 + -22x = -4 + 34 -22x = -4 + 34 Combine like terms: -4 + 34 = 30 -22x = 30 Divide each side by '-22'. x = -1.363636364 Simplifying x = -1.363636364
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