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Simplifying 4x + 9 = -61 + -6x Reorder the terms: 9 + 4x = -61 + -6x Solving 9 + 4x = -61 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 9 + 4x + 6x = -61 + -6x + 6x Combine like terms: 4x + 6x = 10x 9 + 10x = -61 + -6x + 6x Combine like terms: -6x + 6x = 0 9 + 10x = -61 + 0 9 + 10x = -61 Add '-9' to each side of the equation. 9 + -9 + 10x = -61 + -9 Combine like terms: 9 + -9 = 0 0 + 10x = -61 + -9 10x = -61 + -9 Combine like terms: -61 + -9 = -70 10x = -70 Divide each side by '10'. x = -7 Simplifying x = -7
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