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Simplifying -154 = -7x + 4(8 + -6x) -154 = -7x + (8 * 4 + -6x * 4) -154 = -7x + (32 + -24x) Reorder the terms: -154 = 32 + -7x + -24x Combine like terms: -7x + -24x = -31x -154 = 32 + -31x Solving -154 = 32 + -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. -154 + 31x = 32 + -31x + 31x Combine like terms: -31x + 31x = 0 -154 + 31x = 32 + 0 -154 + 31x = 32 Add '154' to each side of the equation. -154 + 154 + 31x = 32 + 154 Combine like terms: -154 + 154 = 0 0 + 31x = 32 + 154 31x = 32 + 154 Combine like terms: 32 + 154 = 186 31x = 186 Divide each side by '31'. x = 6 Simplifying x = 6
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