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Simplifying 41 + -1(x + 8) = 9x + -7 Reorder the terms: 41 + -1(8 + x) = 9x + -7 41 + (8 * -1 + x * -1) = 9x + -7 41 + (-8 + -1x) = 9x + -7 Combine like terms: 41 + -8 = 33 33 + -1x = 9x + -7 Reorder the terms: 33 + -1x = -7 + 9x Solving 33 + -1x = -7 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 33 + -1x + -9x = -7 + 9x + -9x Combine like terms: -1x + -9x = -10x 33 + -10x = -7 + 9x + -9x Combine like terms: 9x + -9x = 0 33 + -10x = -7 + 0 33 + -10x = -7 Add '-33' to each side of the equation. 33 + -33 + -10x = -7 + -33 Combine like terms: 33 + -33 = 0 0 + -10x = -7 + -33 -10x = -7 + -33 Combine like terms: -7 + -33 = -40 -10x = -40 Divide each side by '-10'. x = 4 Simplifying x = 4
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