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Simplifying -8(3x + -4) + -6 = -30 + 4x Reorder the terms: -8(-4 + 3x) + -6 = -30 + 4x (-4 * -8 + 3x * -8) + -6 = -30 + 4x (32 + -24x) + -6 = -30 + 4x Reorder the terms: 32 + -6 + -24x = -30 + 4x Combine like terms: 32 + -6 = 26 26 + -24x = -30 + 4x Solving 26 + -24x = -30 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 26 + -24x + -4x = -30 + 4x + -4x Combine like terms: -24x + -4x = -28x 26 + -28x = -30 + 4x + -4x Combine like terms: 4x + -4x = 0 26 + -28x = -30 + 0 26 + -28x = -30 Add '-26' to each side of the equation. 26 + -26 + -28x = -30 + -26 Combine like terms: 26 + -26 = 0 0 + -28x = -30 + -26 -28x = -30 + -26 Combine like terms: -30 + -26 = -56 -28x = -56 Divide each side by '-28'. x = 2 Simplifying x = 2
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