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Simplifying 8x + -1(10x + 5) + 7x = 49x + 4(3x + 6) Reorder the terms: 8x + -1(5 + 10x) + 7x = 49x + 4(3x + 6) 8x + (5 * -1 + 10x * -1) + 7x = 49x + 4(3x + 6) 8x + (-5 + -10x) + 7x = 49x + 4(3x + 6) Reorder the terms: -5 + 8x + -10x + 7x = 49x + 4(3x + 6) Combine like terms: 8x + -10x = -2x -5 + -2x + 7x = 49x + 4(3x + 6) Combine like terms: -2x + 7x = 5x -5 + 5x = 49x + 4(3x + 6) Reorder the terms: -5 + 5x = 49x + 4(6 + 3x) -5 + 5x = 49x + (6 * 4 + 3x * 4) -5 + 5x = 49x + (24 + 12x) Reorder the terms: -5 + 5x = 24 + 49x + 12x Combine like terms: 49x + 12x = 61x -5 + 5x = 24 + 61x Solving -5 + 5x = 24 + 61x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-61x' to each side of the equation. -5 + 5x + -61x = 24 + 61x + -61x Combine like terms: 5x + -61x = -56x -5 + -56x = 24 + 61x + -61x Combine like terms: 61x + -61x = 0 -5 + -56x = 24 + 0 -5 + -56x = 24 Add '5' to each side of the equation. -5 + 5 + -56x = 24 + 5 Combine like terms: -5 + 5 = 0 0 + -56x = 24 + 5 -56x = 24 + 5 Combine like terms: 24 + 5 = 29 -56x = 29 Divide each side by '-56'. x = -0.5178571429 Simplifying x = -0.5178571429
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