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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 = 27x -34 + 27x = x + -4 Reorder the terms: -34 + 27x = -4 + x Solving -34 + 27x = -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 + 27x + -1x = -4 + x + -1x Combine like terms: 27x + -1x = 26x -34 + 26x = -4 + x + -1x Combine like terms: x + -1x = 0 -34 + 26x = -4 + 0 -34 + 26x = -4 Add '34' to each side of the equation. -34 + 34 + 26x = -4 + 34 Combine like terms: -34 + 34 = 0 0 + 26x = -4 + 34 26x = -4 + 34 Combine like terms: -4 + 34 = 30 26x = 30 Divide each side by '26'. x = 1.153846154 Simplifying x = 1.153846154
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