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Simplifying 8x + 4(-4x + 9 + 6x) = -5(4 + -7x + -1) Reorder the terms: 8x + 4(9 + -4x + 6x) = -5(4 + -7x + -1) Combine like terms: -4x + 6x = 2x 8x + 4(9 + 2x) = -5(4 + -7x + -1) 8x + (9 * 4 + 2x * 4) = -5(4 + -7x + -1) 8x + (36 + 8x) = -5(4 + -7x + -1) Reorder the terms: 36 + 8x + 8x = -5(4 + -7x + -1) Combine like terms: 8x + 8x = 16x 36 + 16x = -5(4 + -7x + -1) Reorder the terms: 36 + 16x = -5(4 + -1 + -7x) Combine like terms: 4 + -1 = 3 36 + 16x = -5(3 + -7x) 36 + 16x = (3 * -5 + -7x * -5) 36 + 16x = (-15 + 35x) Solving 36 + 16x = -15 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 36 + 16x + -35x = -15 + 35x + -35x Combine like terms: 16x + -35x = -19x 36 + -19x = -15 + 35x + -35x Combine like terms: 35x + -35x = 0 36 + -19x = -15 + 0 36 + -19x = -15 Add '-36' to each side of the equation. 36 + -36 + -19x = -15 + -36 Combine like terms: 36 + -36 = 0 0 + -19x = -15 + -36 -19x = -15 + -36 Combine like terms: -15 + -36 = -51 -19x = -51 Divide each side by '-19'. x = 2.684210526 Simplifying x = 2.684210526
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