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Simplifying 9 + -6(7 + -5x) = 8 + 2(x + 4) 9 + (7 * -6 + -5x * -6) = 8 + 2(x + 4) 9 + (-42 + 30x) = 8 + 2(x + 4) Combine like terms: 9 + -42 = -33 -33 + 30x = 8 + 2(x + 4) Reorder the terms: -33 + 30x = 8 + 2(4 + x) -33 + 30x = 8 + (4 * 2 + x * 2) -33 + 30x = 8 + (8 + 2x) Combine like terms: 8 + 8 = 16 -33 + 30x = 16 + 2x Solving -33 + 30x = 16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -33 + 30x + -2x = 16 + 2x + -2x Combine like terms: 30x + -2x = 28x -33 + 28x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 -33 + 28x = 16 + 0 -33 + 28x = 16 Add '33' to each side of the equation. -33 + 33 + 28x = 16 + 33 Combine like terms: -33 + 33 = 0 0 + 28x = 16 + 33 28x = 16 + 33 Combine like terms: 16 + 33 = 49 28x = 49 Divide each side by '28'. x = 1.75 Simplifying x = 1.75
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