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Simplifying 5(4 + -1x) + -1(7(x + 4)) = 6x (4 * 5 + -1x * 5) + -1(7(x + 4)) = 6x (20 + -5x) + -1(7(x + 4)) = 6x Reorder the terms: 20 + -5x + -1(7(4 + x)) = 6x 20 + -5x + -1((4 * 7 + x * 7)) = 6x 20 + -5x + -1((28 + 7x)) = 6x 20 + -5x + (28 * -1 + 7x * -1) = 6x 20 + -5x + (-28 + -7x) = 6x Reorder the terms: 20 + -28 + -5x + -7x = 6x Combine like terms: 20 + -28 = -8 -8 + -5x + -7x = 6x Combine like terms: -5x + -7x = -12x -8 + -12x = 6x Solving -8 + -12x = 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. -8 + -12x + -6x = 6x + -6x Combine like terms: -12x + -6x = -18x -8 + -18x = 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -18x = 0 Add '8' to each side of the equation. -8 + 8 + -18x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -18x = 0 + 8 -18x = 0 + 8 Combine like terms: 0 + 8 = 8 -18x = 8 Divide each side by '-18'. x = -0.4444444444 Simplifying x = -0.4444444444
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