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Simplifying 4(8 + -6x) + -6 = -8x + -34 (8 * 4 + -6x * 4) + -6 = -8x + -34 (32 + -24x) + -6 = -8x + -34 Reorder the terms: 32 + -6 + -24x = -8x + -34 Combine like terms: 32 + -6 = 26 26 + -24x = -8x + -34 Reorder the terms: 26 + -24x = -34 + -8x Solving 26 + -24x = -34 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 26 + -24x + 8x = -34 + -8x + 8x Combine like terms: -24x + 8x = -16x 26 + -16x = -34 + -8x + 8x Combine like terms: -8x + 8x = 0 26 + -16x = -34 + 0 26 + -16x = -34 Add '-26' to each side of the equation. 26 + -26 + -16x = -34 + -26 Combine like terms: 26 + -26 = 0 0 + -16x = -34 + -26 -16x = -34 + -26 Combine like terms: -34 + -26 = -60 -16x = -60 Divide each side by '-16'. x = 3.75 Simplifying x = 3.75
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