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Simplifying 3 + -1(9x + 4) = 5[(6x + -4) + -1(x + -8)] Reorder the terms: 3 + -1(4 + 9x) = 5[(6x + -4) + -1(x + -8)] 3 + (4 * -1 + 9x * -1) = 5[(6x + -4) + -1(x + -8)] 3 + (-4 + -9x) = 5[(6x + -4) + -1(x + -8)] Combine like terms: 3 + -4 = -1 -1 + -9x = 5[(6x + -4) + -1(x + -8)] Reorder the terms: -1 + -9x = 5[(-4 + 6x) + -1(x + -8)] Remove parenthesis around (-4 + 6x) -1 + -9x = 5[-4 + 6x + -1(x + -8)] Reorder the terms: -1 + -9x = 5[-4 + 6x + -1(-8 + x)] -1 + -9x = 5[-4 + 6x + (-8 * -1 + x * -1)] -1 + -9x = 5[-4 + 6x + (8 + -1x)] Reorder the terms: -1 + -9x = 5[-4 + 8 + 6x + -1x] Combine like terms: -4 + 8 = 4 -1 + -9x = 5[4 + 6x + -1x] Combine like terms: 6x + -1x = 5x -1 + -9x = 5[4 + 5x] -1 + -9x = [4 * 5 + 5x * 5] -1 + -9x = [20 + 25x] Solving -1 + -9x = 20 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -1 + -9x + -25x = 20 + 25x + -25x Combine like terms: -9x + -25x = -34x -1 + -34x = 20 + 25x + -25x Combine like terms: 25x + -25x = 0 -1 + -34x = 20 + 0 -1 + -34x = 20 Add '1' to each side of the equation. -1 + 1 + -34x = 20 + 1 Combine like terms: -1 + 1 = 0 0 + -34x = 20 + 1 -34x = 20 + 1 Combine like terms: 20 + 1 = 21 -34x = 21 Divide each side by '-34'. x = -0.6176470588 Simplifying x = -0.6176470588
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