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Simplifying -5(8x + 3) = 2(7x + 2) + -5x Reorder the terms: -5(3 + 8x) = 2(7x + 2) + -5x (3 * -5 + 8x * -5) = 2(7x + 2) + -5x (-15 + -40x) = 2(7x + 2) + -5x Reorder the terms: -15 + -40x = 2(2 + 7x) + -5x -15 + -40x = (2 * 2 + 7x * 2) + -5x -15 + -40x = (4 + 14x) + -5x Combine like terms: 14x + -5x = 9x -15 + -40x = 4 + 9x Solving -15 + -40x = 4 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -15 + -40x + -9x = 4 + 9x + -9x Combine like terms: -40x + -9x = -49x -15 + -49x = 4 + 9x + -9x Combine like terms: 9x + -9x = 0 -15 + -49x = 4 + 0 -15 + -49x = 4 Add '15' to each side of the equation. -15 + 15 + -49x = 4 + 15 Combine like terms: -15 + 15 = 0 0 + -49x = 4 + 15 -49x = 4 + 15 Combine like terms: 4 + 15 = 19 -49x = 19 Divide each side by '-49'. x = -0.387755102 Simplifying x = -0.387755102
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