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Simplifying 5 + -9(x + 5) + -7 = 5 + 3(9 + -1x) + -81 Reorder the terms: 5 + -9(5 + x) + -7 = 5 + 3(9 + -1x) + -81 5 + (5 * -9 + x * -9) + -7 = 5 + 3(9 + -1x) + -81 5 + (-45 + -9x) + -7 = 5 + 3(9 + -1x) + -81 Reorder the terms: 5 + -45 + -7 + -9x = 5 + 3(9 + -1x) + -81 Combine like terms: 5 + -45 = -40 -40 + -7 + -9x = 5 + 3(9 + -1x) + -81 Combine like terms: -40 + -7 = -47 -47 + -9x = 5 + 3(9 + -1x) + -81 -47 + -9x = 5 + (9 * 3 + -1x * 3) + -81 -47 + -9x = 5 + (27 + -3x) + -81 Reorder the terms: -47 + -9x = 5 + 27 + -81 + -3x Combine like terms: 5 + 27 = 32 -47 + -9x = 32 + -81 + -3x Combine like terms: 32 + -81 = -49 -47 + -9x = -49 + -3x Solving -47 + -9x = -49 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -47 + -9x + 3x = -49 + -3x + 3x Combine like terms: -9x + 3x = -6x -47 + -6x = -49 + -3x + 3x Combine like terms: -3x + 3x = 0 -47 + -6x = -49 + 0 -47 + -6x = -49 Add '47' to each side of the equation. -47 + 47 + -6x = -49 + 47 Combine like terms: -47 + 47 = 0 0 + -6x = -49 + 47 -6x = -49 + 47 Combine like terms: -49 + 47 = -2 -6x = -2 Divide each side by '-6'. x = 0.3333333333 Simplifying x = 0.3333333333
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